A mass on a string of unknown length oscillates as a pendulum with period of 4.77 s.?

Question

What is the period if the string length is doubled? What is the period if the string length is halved? What is the period if the amplitude is doubled?

Hermina Ferry · Accepted Answer

Amplitude has no effect on the period of the pendulum, it will still take the same amount of time to complete one swing if the amplitude is made bigger, it will just move faster to swing the extra distance in the same time.The equation governing period and length of a pendulum is T = 2π√(L/g), where g is the acceleration due to gravity. The important thing to note here is that if the acceleration due to gravity is held constant, the time period is proportional to the square root of the length.So if the string length is doubled, the period increases by a factor of √2.So the period of the new length is √2 x 4.77 s = 6.75 s.And if the string length is halved, you need to divide 4.77 by √2 to get a time period of 3.37 s.

Hermina Ferry · Answer

The equation for term is T = 2pi x sq. root of (l/g) wher l is the dimensions of the pendulum and g the acceleration by using gravity. T = 2 x 3.14 x squareroot(34/9.8) = 11.7 s 2) it is sparkling that c is your best option

Jakob Littel

A mass on a string of unknown length oscillates as a pendulum with period of 4.77 s.?

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