Question

a simple pendulum takes 42 seconds to complete 24 oscillations. find out the time period of the pendulum

Answer 1

Answer:

Time Period is defined as the time taken for completing one oscillation of the bob of a simple pendulum.

According to the question,

Number of Oscillations = 24 oscillations

Time Taken = 42 seconds

Time Taken for one oscillation can be calculated as:

24 oscillations : 42 seconds :: 1 oscillation : ? ( x )

⇒ Product of Means = Product of Extremes

⇒ 42 × 1 = 24 × x

⇒ 24 x = 42

⇒ x = 42 / 24 = 1.75 seconds

Hence the time period is 1.75 seconds.

Answer 2

No. of oscillations completed by the pendulum= 42 

Time taken to complete 42 oscillation= 20 seconds 

Time period= No. of oscillations completed/Time taken 

Time period= 42/20 

= 21/10 (cancelled by 2) 

= 2.1 

Time period= 2.1 seconds