Question

when the length of the string of a pendulum decreases, then the time taken to complete one oscillation:

Answer 1

Answer:

The longer the length of string, the farther the pendulum falls; and therefore, the longer the period, or back and forth swing of the pendulum. The greater the amplitude, or angle, the farther the pendulum falls; and therefore, the longer the period

Explanation:

If the length of a second's pendulum is increased by 1% , how many seconds will it loss or gain in a day ? =2(1+1100)1/2=2(1+1200+.....) ∴ Increase in time period, ΔT′=2+1100-2=1100sec.

Answer 2

When the length of the string of a pendulum decreases then the time taken to complete one oscillation also decreases.

• The time to complete one oscillation by the pendulum or the period of the pendulum is dependent on some factors.
• Similarly, the length of the string of the pendulum is a major factor behind the period of the pendulum.
• A shorter length of string will cause a shorter length of the arc path of the pendulum. And, a shorter arc will create more vertical elevation of the Bob of the pendulum, at the both ends of the arc. This greater amount of vertical elevation creates more amount of restoring force.
• The more amount of restoring force creates higher velocity.
• So the higher velocity and smaller travelling path, helps the pendulum to complete one oscillation in shorter time.