An observant fan at a baseball game notices that the radio commentators have low

Question

An observant fan at a baseball game notices that the radio commentators have lowered a microphone from their booth to just a few inches above the ground, as shown in the figure (Figure 1) . The microphone is used to pick up sound from the field and from the fans. The fan also notices that the microphone is slowly swinging back and forth like a simple pendulum. Using her digital watch, she finds that 13 complete oscillations take 55.0 s .

How high above the field is the radio booth? (Assume the microphone and its cord can be treated as a simple pendulum.)

Explanation / Answer

Here ,

time period of the pendulum , T = total time taken /number of swings

T = 55/13

T = 4.23 s

the time taken is 4.23 s

Now, for a pendulum , T = 2pi*sqrt(L/g)

4.23 = 2pi*sqrt(L/9.8)

solving fot L

L = 4.44 m

the radio booth is 4.44 m high from the ground

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects