A mass on a string of unknown length oscillates as a pendulum with a period of 2

Question

A mass on a string of unknown length oscillates as a pendulum with a period of 2.1 s. Parts A to D are independent questions, each referring to the initial situation. What is the period if the mass is doubled? Express your answer to two significant figures and include the appropriate units. What is the period if the string length is doubled? Express your answer to two significant figures and include the appropriate units. What is the period if the string length is halved? Express your answer to two significant figures and include the appropriate units. What is the period if the amplitude is doubled? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

T = 1/2pi sqrt(l/g)

a) time periode is independent on mass

t = 2.1 s

b) if length double

t' = sqrt(2)*t = 2.97 s

c) t' = t/sqrt(2) = 1.485 s

d) t is independent on amplitude t = 2.1 s

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