Question

The bob of a simple pendulum makes 200 oscillations in 20 seconds calculate (a) frequency (b) Time
period

Answer 1

Answer:

The simple pendulum makes 200 oscillations in 20 seconds,

a) The time taken for each oscillation is=20/200=1/10s=0.1seconds

Hence the time period is 0.1 seconds

b)As we know,

frequency,f=1/T=1/0.1=10Hz

Explanation:

Hope it helps you.....

Answer 2

The formula for time period is t / n, where t is the time taken and n is the number of oscillations. Substituting the given values, we get the time period of the pendulum as 0.1 seconds. The formula for frequency is n / t, where n is the number of oscillations and t is the time taken. Substituting the given values, we get the frequency of the pendulum as 10 Hz.

Given:

Number of oscillations (n) = 200

Time taken (t) = 20 seconds

To find:

(a) Frequency (f)

(b) Time period (T)

Solution:

(a) Frequency (f) can be defined as the number of oscillations per unit time. It is given by the formula:

f = n / t

Substituting the given values, we get:

f = 200 / 20

f = 10 Hz

Therefore, the frequency of the pendulum is 10 Hz.

(b) Time period (T) can be defined as the time taken by the pendulum to complete one full oscillation. It is given by the formula:

T = t / n

Substituting the given values, we get:

T = 20 / 200

T = 0.1 seconds

Therefore, the time period of the pendulum is 0.1 seconds.

Explanation:

• A simple pendulum is a weight suspended from a fixed point so that it is free to swing back and forth under the influence of gravity. The oscillations of a simple pendulum depend on the length of the string, the mass of the weight, and the force of gravity. The motion of a simple pendulum is periodic, which means it repeats itself after a fixed time period.
• In this problem, we are given the number of oscillations and the time taken by the pendulum. Using these values, we can calculate the frequency and time period of the pendulum. Frequency is the number of oscillations per unit time, while time period is the time taken by the pendulum to complete one full oscillation.
• The formula for frequency is n / t, where n is the number of oscillations and t is the time taken. Substituting the given values, we get the frequency of the pendulum as 10 Hz.
• The formula for time period is t / n, where t is the time taken and n is the number of oscillations. Substituting the given values, we get the time period of the pendulum as 0.1 seconds.

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