Moving in circles
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How can we recognise uniform motion in a circle? What do we need to measure to find the speed of an object moving in uniform circular motion? What is meant by angular displacement and angular speed?
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Ap physics -_circular_motion
1) Circular motion involves an object moving in a circle with constant speed but changing velocity direction. The velocity is always tangent to the circle while the acceleration points toward the center and is known as centripetal acceleration.
2) Centripetal force provides the necessary centripetal acceleration to cause an object to travel in a circular path and must be present to overcome the object's inertia. This force is proportional to the mass of the object and the square of its velocity.
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1) Circular motion involves objects moving along a circular trajectory with changing speed but constant direction. It can be uniform, where the angular velocity is constant, or accelerated, where the angular velocity changes linearly with time.
2) Key quantities in circular motion include period, frequency, linear velocity, and angular velocity, which can be calculated using relationships like the period equation or the definition of angular velocity.
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1) Circular motion involves objects moving along a circular trajectory with changing speed but constant direction. It can be uniform, where the angular velocity is constant, or accelerated, where the angular velocity changes linearly with time.
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A2 circular motion-ang dis and ang-velocity
This document discusses circular motion. It defines circular motion as motion along a circular path or arc. Uniform circular motion refers to motion at a constant speed along the path. Angular displacement is defined as the angle described by the radius vector from the initial to final position of an object in circular motion. Angular displacement is measured in radians, with one radian equal to an arc length equal to the radius. Angular velocity refers to the rate of change of the angular displacement and indicates both the magnitude and direction of rotational motion. Centripetal forces are also discussed as providing the inward acceleration needed for circular motion.
Rotacion
This document discusses rotational motion concepts like angular velocity, linear velocity, angular acceleration, and tangential acceleration for objects moving in circular motion. It provides examples of points located at different distances from the axis of rotation on a spinning disk. The key points are that angular velocity is the same for all points on a rotating object but linear velocity and tangential acceleration increase with distance from the axis of rotation. Several problems are worked through calculating values like angular acceleration, angular velocity, revolutions, and linear speeds for objects undergoing constant angular acceleration.
1. motion in a circle by a tobve
1. The document discusses uniform circular motion, defining key terms like linear velocity, angular velocity, centripetal force, and centripetal acceleration.
2. Examples of circular motion are given, and the relationships between linear velocity, angular velocity, radius, period, and frequency are defined.
3. Centripetal force is described as the force directing an object towards the center of its circular path, and equations are provided relating centripetal force to mass, velocity, and radius.
PHY300 Chapter 5 physics 5e
This chapter of the physics textbook discusses circular motion. It introduces concepts like angular displacement, angular velocity, angular acceleration, radian measure, and their relationships to linear displacement, velocity, and acceleration. It describes uniform circular motion and the radial (centripetal) acceleration required. Examples are provided to demonstrate calculating angular speed, period, frequency, and the force required for uniform circular motion. Rolling motion and projectile motion on a circular path are also discussed.
circular motion Mechanics
This document provides an overview of circular motion concepts including:
- Angular position, velocity, and displacement relationships
- Tangential velocity and how it relates to angular velocity
- Centripetal acceleration and the centripetal force required to cause an object to travel in a circular motion
- Examples of circular motion problems are provided to illustrate applying concepts like drawing free body diagrams and calculating minimum speeds, coefficients of friction, and banked road angles.
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Pressure is a type of force measured as the force applied over an area. It can be high, like the pressure from stilettos, or low, like the pressure from dice. Pressure is calculated using the formula of force divided by area. Moments are also a type of force but are not symbolized on the periodic table like pressure. Levers can be used to increase or decrease the magnitude of a force and change the direction of its application through its fulcrum.
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Fossil fuels like coal, oil and gas take several years to form naturally, whereas solar and wind power are renewable energy sources with some disadvantages. Solar power has advantages of being sustainable and environmentally-friendly but is extremely expensive, while wind power is cheap but produces intermittent energy depending on weather conditions. Solar power installations can be costly.
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This document discusses the consequences of climate change such as melting ice caps flooding, freak weather storms, and colder wetter winters. It also notes that fossil fuels produce CO2 and cannot be reused, and will eventually run out, while renewable energies can be reused, last longer and are more efficient.
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Fossil fuels like coal, gas, and oil release CO2 into the atmosphere and will eventually run out, as they were made millions of years ago underground. Wind and solar power are renewable sources that will not run out, but wind turbines need windy areas and solar panels work best in sunny places like Africa rather than the UK with less sun.
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The document discusses different energy sources such as fossil fuels, wind turbines, and solar panels. Fossil fuels release carbon dioxide into the atmosphere while wind turbines and solar panels do not pollute but have disadvantages of taking up space and not working without wind or sun. The consequences of global warming include wetter winters, warmer summers, melting ice caps which endangers Arctic and Antarctic animals. Individuals can help by recycling, conserving electricity and water, and not wasting energy.
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Moving in circles
- 1. Moving in Circles What forces are on you when you go around a corner?
- 2. Task • Try and explain why a car skids when it goes around a corner too quickly.
- 3. Learning objectives • How can we recognise uniform motion in a circle? • What do we need to measure to find the speed of an object moving in uniform circular motion? • What is meant by angular displacement and angular speed?
- 4. Objects which move in a circular path any suggestions? The hammer swung by a hammer thrower Clothes being dried in a spin drier Chemicals being separated in a centrifuge Cornering in a car or on a bike A stone being whirled round on a string A plane looping the loop A DVD, CD or record spinning on its turntable Satellites moving in orbits around the Earth A planet orbiting the Sun (almost circular orbit for many) Many fairground rides An electron in orbit about a nucleus
- 5. The Wheel The speed of the perimeter of each wheel is the same as the cyclists speed, provide that the wheel does not slip or skid. r If the cyclists speed remains constant, his wheels turn at a steady rate. An object turning at a steady rate is said to be in uniform circular motion The circumference of the wheel = 2 π r The frequency of rotation f = 1/T, T is the time for 1 rotation The speed v of a point on the perimeter = circumference/ time for 1 rotation V = (2 π r) / T = 2 π r f Worked example p22
- 6. Angular displacement The big wheel has a diameter of 130m and a full rotation takes 30 minutes (1800 seconds) 3600 / 1800 = 0.20 per second (2π radians) 20 in 10 seconds 200 in 100 seconds (π/18 radians) 900 in 450 seconds (π/2 radians) The wheel will turn through an angle of (2 π/T) radians per second T is the time for one complete rotation The angular displacement (in radians) of the object in time t is therefore = 2 π t T = 2 π f t The angular speed (w) is defined as the angular displacement / time w = 2 π f w is measured in radians per second (rad s-1 )
- 7. Angular displacement The big wheel has a diameter of 130m and a full rotation takes 30 minutes (1800 seconds) 3600 / 1800 = 0.20 per second (2π radians) 20 in 10 seconds 200 in 100 seconds (π/18 radians) 900 in 450 seconds (π/2 radians) The wheel will turn through an angle of (2 π/T) radians per second T is the time for one complete rotation The angular displacement (in radians) of the object in time t is therefore = 2 π t T = 2 π f t The angular speed (w) is defined as the angular displacement / time w = 2 π f w is measured in radians per second (rad s-1 )