It is said that Galileo discovered a basic principle of the pendulum - that the

Question

It is said that Galileo discovered a basic principle of the pendulum - that the period is independent of the amplitude - by using his pulse to time the period of swinging lamps in the cathedral as they swayed in the breeze. Suppose that one oscillation of a swinging lamp takes 6.8 s

Part A

How long is the lamp chain?

Express your answer to two significant figures and include the appropriate units.

m

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Part B

What maximum speed does the lamp have if its maximum angle from vertical is 3.0?

Express your answer to two significant figures and include the appropriate units.

m

Explanation / Answer

the long of the lamp chain is,

    L= g*(T/2)2 = 9.8*[6.8/2*]2 = 11.49 m

ThE height of pendulum from equilibrium

H = L (1 - cos theta) = 11.49*(1 - cos3) = 0.0157468 m

the velcoity is,

vmax = sqrt(2gH) = 0.555 m/s

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