A simple pendulum with a string length of 2.45 m has a maximum acceleration of 20...

Question

Question

A simple pendulum with a string length of 2.45 m has a maximum acceleration of 20 cm/s2. Find its speed when the position is 4 cm from the center.

Answer 1

Answer #1

Angular speed of simple pendulum,

w = sqrt (g / L)

w = sqrt (9.8 / 2.45) = 2 rad/s^2

Maximum acceleration, a_max = Aw^2

0.20 = A*(2)^2

A = 0.05 m

Speed when the position x = 4 cm = 0.04 m,

v = w sqrt (A^2 - x^2)

v = 2 * sqrt (0.05² - 0.04²)

v = 0.06 m/s

v = 6 cm/s

Answer 2

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