A pendulum with a length of 1.40m was tested on 3 planets with different gravitational forces: Jupiter (g=24.79m/s2), Mars (g=3.71m/s2), and Venus (g=8.87m/s2). The time taken for 50 oscillations was measured. Jupiter had the fastest time, followed by Venus, then Mars. Gravity affects oscillation time - the greater the gravity, the shorter the period. If the pendulum length was reduced by 25%, the period would decrease by a factor of two.

1. Simple Pendulum
A pendulum with a length of exactly 1.40m has been sent to 3 different planets
with three different gravities. Measure how long it would take to complete 50
oscillations on each planet. Order them from fastest to slowest. How do the gravities
affect oscillation times?
a) Jupiter: g=24.79m/s2
b) Mars: g=3.71m/s2
c) Venus g=8.87m/s2
What would happen to the period of the pendulum if the length of the string were to be
reduced by 25%? Explain.

2. Simple Pendulum
A pendulum with a length of exactly 1.40mhas been sentto 3
different planets with three different gravities. Measurehow long it would
take to complete 50 oscillations on each planet. Order them fromfastest
to slowest. How do the gravities affect oscillation times?
a) Jupiter: g=24.79m/s2
b) Mars: g=3.71m/s2
c) Venus g=8.87m/s2
Since the period (T) equals 2 pi over frequency (w) and frequency equals
we get . Use this formula to figure out the period.
a) 1.4913s * 50 oscillations = 74.57s
b) 3.85973 * 50 oscillations = 193.0s
c) 2.49621 * 50 oscillations = 124.81s
Answer: Jupiter, Venus, Mars.
If you look at the equation you can see you have to divide by g (force of gravity).
Since Jupiter has the greatest gravity you will be dividing by a large number making
your period smaller. Since Mars has the smallest gravitational force you will be
dividing by a small number making your period larger.
What would happen to the period of the pendulum if the length of the
string were to be reduced by 25%? Explain.

3. Answer: The period would decrease by a factor of two.
Explanation: Length would be a quarter of its original length (1/4). If you plug in
lets say 16m for length and lets just make gravity equal to 2m/s2. You will get a
value of approx. 17.77s. Then if you take a quarter of 16, which is 4 and plug it in
you get a value of approx. 8.89s which is half of 17.77. Meaning that the period
has decreased by a factor of 2.