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A conical pendulum is a weight or bob fixed on the end of a string suspended fro

ID: 2139433 • Letter: A

Question

A conical pendulum is a weight or bob fixed on the end of a string suspended from a pivot. It moves in a horizontal circular path, as shown in the diagram below.

A conical pendulum is a weight or bob fixed on the end of a string suspended from a pivot. It moves in a horizontal circular path, as shown in the diagram below. Suppose the bob has a mass of 0.45 kg, the length of the pendulum is 0.85 m and the angle that it swings at is 12 degree . What is the magnitude of the centripetal acceleration? m/s2 What is the radius of the horizontal circular path? m What is the speed of the mass? m/s

Explanation / Answer

c) Tcos12 = mg

Tsin12 = ma_C

tan12 = a_c / g

a_c = 2.08 m/s2


d) r = Lsin12 = 0.177 m


e) a _c = v^2/r

v = sqrt(0.177 x 2.08) = 1.92 m/s

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