Question

A particle takes 32 seconds to make 20 oscillation calculate time period and frequency

Answer 1

Sorry I don't know.....

Answer 2

Given :

• Number of oscillations made = 20
• Time taken = 32 seconds

To find :

• Time period(T)
• Frequency(n)

Solution :

• The particle takes 32 seconds to make 20 oscillations.
• Time period is the time required by the particle to make one oscillation.
• Hence, the time period is given by,

        T = (Total time taken)÷(Number of oscillations)

      ∴ T = 32 ÷ 20

      ∴ T = 1.6 seconds

• Frequency is defined as the number of cycles or oscillations taking place per unit time.
• That is , the reciprocal of the time period.

• ∴  $n = \frac{1}{T}$
• ∴  $n = \frac{1}{1.6}$
• ∴ $n = 0.625$ s⁻¹

Answer:

• The time period is 1.6 seconds.
• The frequency is 0.625 Hz.