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Machine Kinematics Multiple Choice Questions and Answers – Acceleration of a Particle along a Circular Path

(1) A wheel accelerates uniformly from rest to 2000 r.p.m. in 20 seconds. What is its angular acceleration?
[A] 10.475 rad/s2
[B] 12 rad/s2
[C] 14 rad/s2
[D] 15 rad/s2
Answer: 10.475 rad/s2
(2) A wheel accelerates uniformly from rest to 2000 r.p.m. in 20 seconds. How many revolutions does the wheel make in attaining the speed of 2000 r.p.m.?
[A] 400
[B] 300
[C] 333.4
[D] 200
Answer: 333.4

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(3) The acceleration of a particle at any instant moving along a circular path in a direction tangential to that instant, is known
[A] tangential component
[B] normal component
[C] parallel component
[D] none of the mentioned
Answer: tangential component
(4) The acceleration of a particle at any instant moving along a circular path in a direction normal to the tangent at that instant and directed towards the centre of the circular path, is known as
[A] tangential component
[B] normal component
[C] parallel component
[D] none of the mentioned
Answer: normal component
(5) When a particle moves along a straight path, then the radius of curvature is
[A] infinitely small
[B] zero
[C] infinitely great
[D] none of the mentioned
Answer: infinitely great
(6) When a particle moves with a uniform velocity, then dv/dt will be
[A] infinitely small
[B] zero
[C] infinitely great
[D] none of the mentioned
Answer: zero
(7) A horizontal bar 1.5 metres long and of small cross-section rotates about vertical axis through one end. It accelerates uniformly from 1200 r.p.m. to 1500 r.p.m. in an interval of 5 seconds. What is the linear velocity at the beginning of the interval ?
[A] 188.6 m/s
[B] 235.5 m/s
[C] 300 m/s
[D] 400 m/s
Answer: 188.6 m/s
(8) A horizontal bar 1.5 metres long and of small cross-section rotates about vertical axis through one end. It accelerates uniformly from 1200 r.p.m. to 1500 r.p.m. in an interval of 5 seconds. What is the linear velocity at end of the interval ?
[A] 188.6 m/s
[B] 235.5 m/s
[C] 300 m/s
[D] 400 m/s
Answer: 235.5 m/s

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