A beetle sits 6 cm from the center of a record that is initially at rest records

Question

A beetle sits 6 cm from the center of a record that is initially at rest records begins to ending with a consonant acceleration of .25 rad/s^2. what are the magnitudes of the radio and tangential components of the beetle's linear acceleration after it has made one complete Revolution? Express your answer to three significant figures.

4. A betle sits 6.00 cm from the center of a record that is initially at rest. The record begins spinning with a constant angular acceleration of 0.250 rad/s. What are the magnitudes of the radial and tangential components of the beetle's linear acceleration after it has made one complete revolution? Express your answers to three significant figures

Explanation / Answer

Given radius r = 6 cm = 0.06 m

angular acceleration   alpha =   0.25 rad/s^2

initial angular velocity omega(0) = 0

Angular velocity after one complete revolution is omega

for one revolution theta = 2pi rad

from omega^2 - omega(0)^2 = 2 * alpha * theta

omega^2 - 0 = 2 * 0.25 * 2pi

omega = 1.77 rad/s

a) Radial acceleration ar = r * alpha

ar = 0.06 * 0.25

ar = 0.015 m/s^2

b) Tangential Acceleration

at = r * (omega)^2

at = 0.06 * (1.77)^2

at = 0.188 m/s^2

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