Question:
An insect trapped in a circular groove of 12 cm moves along the groove steadily and completes 7 revolution in 100sec. Is the accleration vector a constant vector
Answer:
Frequency of revolution of Insect = No of revolution completed in one second = 7100=0.07S−17100=0.07S−1
Angular Speed = 2πn = 2 x 22/7 x 0.07 = 0.442 πn
=2 x 22/7 x 0.07 = 0.44 rad/sec
Linear speed = ωr=0.44 x ωr = 0.44 x 0.12 = 0.0528 meter/sec
In this case acceleration is not a constant vector as direction of velocity is continuous changing.
This is centripetal acceleration and its magnitude is = ω2r = 0.0232 radsec-2
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