A pendulum has a peroid of 0.80 s on Earth. What is its period on Mars, where the acceleration of gravity is about 0.37 that on Earth. \ \ \ \ I used Formula T=2pi(sq root of L/g). \ \ \ \ 80=6.28 (sq root of L/9.8) \ \ \ \ (80/6.28) ^2 = L/9.8 \ \ \ \ 162= L/9.8 \ \ \ \ L=1590 \ \ \ \ On Mars .37 x 9.8 = 3.62 m/s^2 \ \ \ \ T=6.28(sq root of 1590/3.62) \ \ \ \ T=6.28(21) \ \ \ \ T= 131s The book says the answer is 1.3s. I think the book is \ \ \ \ right, but I can\\'t figure out where I am messing up at. \ \ \ \ Thanks Tim
\A pendulum has a period of 1.94 s on Earth \ \ \ \ What is its period on Mars, where the acceleration of gravity is about 0.37 that on Earth?
\The pendulum has time period is .
Find the length of the pendulum.
\The time period of the simple pendulum is , where
is the length of the pendulum and
is acceleration due to gravity.
Substitute and
in
.
.
The length of the pendulum is .
Find the time period of the pendulum on mars.
\The acceleration of gravity on mars is about 0.37 that on earth.
\.
Substitute and
in
.
.
The time period of the pendulum on mars is .
Solution:
\\
The time period of the pendulum on mars is .