A simple pendulum makes 115 complete oscillations in 2.50 min at a location wher

Question

A simple pendulum makes 115 complete oscillations in 2.50 min at a location where g = 9.80 m/s2.(Enter only the answers in the input boxes separately given.)

(a) Find the period of the pendulum.

1. (Enter the answer in box 1) s

(b) Find the length of the pendulum.

2. ( Enter the answer in box 2) m

The angular position of a pendulum is represented by the equation = 0.0330 cos t, where is in radians and = 5.58 rad/s. Determine the period and length of the pendulum. (Enter only the answers in the input boxes separately given.)

3. What is the period?

3. ( Enter in box 3) s

4. What is the length?

4. (Enter in box 4) m

Explanation / Answer

given,

pendulum makes 115 complete oscillations in 2.50 min or

pendulum makes 115 complete oscillations in 150 sec

oscillation made in 1 sec = 115 / 150

oscillation made in 1 sec = 0.766

the period of the pendulum = 0.766

length of the pendulum = time period^2 * g / (4 * pi)

length of the pendulum = 0.766^2 * 9.8 / (4 * pi)

length of the pendulum = 0.4576 m

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