Question

1. A pendulum has a time period of 2.5 seconds. How many oscillations does it complete in one hour?
An athlete runs 200 metres in 16 seconds. What is his average speed in Sl units?
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Answer 1

Answer:

oscillations in 5 s hence 1 oscillation in 2.5 s which is its time period

T=2π

g

l

2.5=2π

g

l

l=10×

4π

2

6.25

=1.58m

Answer 2

Answer:

The answers are -

1. 144 Oscillations    
2. 12.5 m/s

Step-by-step explanation:

Calculations -

1). Given data - The time period of a pendulum is 2.5 seconds

The pendulum completes one oscillation in 2.5 seconds. Or

The pendulum takes 2.5 seconds to complete one oscillation.

1 oscillation = 2.5 seconds

x oscillations = 1 hour (360 seconds)

x = 360/2.5

x = 144

The pendulum completes 144 oscillations in an hour.

2). The formula for calculation of average speed is v = d/t, where v is the average speed, d is the distance covered, and t is the time taken.

Given data - the distance is 200 meters and the time taken is 16 seconds.  

v = d/t

v = 200/16

v = 12.5 m/s

The average speed of an athlete is 12.5 m/s.

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