Question

An observant fan at a baseball game notices that the radio commentators have lowered a microphone from their booth to just a few centimeters above the ground. (The microphone is used to pick up sounds from the field.) The fan also notices that the microphone is slowly swinging back and forth like a simple pendulum. Using her digital watch, she finds that 1010 complete oscillations take 20.2s20.2s. How high above the field is the radio booth?

Answer 1

The radio booth is 0.993 meters above the field.

Step-by-step explanation:

The pendulum covers 10 complete oscillations to take 20 s. We need to find the height above the radio booth. The time period of the pendulum is given by :

`T=2\pi \sqrt{(L)/(g)} \\\\L=((T)/(2\pi ))^2g\\\\L=(((20/10))/(2\pi ))^2* 9.8\\\\L=0.993\ m`

So, the radio booth is 0.993 meters above the field.