The document is a physics exam from Gokul Academy of Science for class 12 students. It contains 7 questions testing concepts of circular motion, including defining radius vector, angular acceleration, and time period. Other questions derive the relationship between linear and angular velocity, write kinematic equations for circular motion, calculate centripetal force and frequency of a clock's second hand. The final question asks about maximum velocity on a curved road. The exam is worth a total of 20 marks and instructs students to "Go Cool For Exam."

1. GOKUL ACADEMY OF SCIENCE
15, Near Gajanan High School, New Subhedar Lay-out, Nagpur-24
Ph.No.0712-2743707,6466067
Date : 01-01-2012 Subject : Physics Std : XII Sci.
Time : 01:00 Hrs. (Circular Motion) Max. Marks : 20
Q.1 Define : 1. Radius vector (M-03)
2. Angular acceleration
3. Time period
Q.2 Derive the relation between linear velocity and angular velocity. (M-02)
Q.3 Write kinematical equations for circular motion in analog with linear motion. (M-04)
Q.4 Derive the velocity for a particle at bottom(mean) position and at maximum height (M-04)
performing vertical circular motion.
Q.5 An object of mass 0.4 Kg is whirled in horizontal circle of radius 2m. if angular (M-03)
velocity is 6.28 rad./ sec. , calculate centripetal force acting on it.
Q.6 Calculate frequency of second hand of a clock having time period 60sec. (M-02)
Q.7 What is the maximum velocity for a vehicle on horizontal curve road? (M-02)
Go Cool For
Exam.