Machine Kinematics Questions and Answers – Numericals On Kinematics Of Motion

(1) A car starts from rest and accelerates uniformly to a speed of 72 km. p.h. over a distance of 500 m. Calculate the acceleration.
[A] 0.3 m/s2
[B] 0.4 m/s2
[C] 0.5 m/s2
[D] 0.6 m/s2
Answer: 0.4 m/s2
(2) A car starts from rest and accelerates uniformly to a speed of 72 km. p.h. over a distance of 500 m. Calculate the time taken to attain the speed.
[A] 50 s
[B] 60 s
[C] 70 s
[D] 80 s
Answer: 50 s

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(3) A car starts from rest and accelerates uniformly to a speed of 72 km. p.h. over a distance of 500 m. If a further acceleration raises the speed to 90 km. p.h. in 10 seconds, find this acceleration and the further distance moved.
[A] 0.3 m/s2
[B] 0.4 m/s2
[C] 0.5 m/s2
[D] 0.6 m/s2
Answer: 0.5 m/s2
(4) A car starts from rest and accelerates uniformly to a speed of 72 km. p.h. over a distance of 500 m. A further acceleration raises the speed to 90 km. p.h. in 10 seconds.The brakes are now applied to bring the car to rest under uniform retardation in 5 seconds. Find the distance travelled during braking.
[A] 200 m
[B] 300 m
[C] 225 m
[D] 335 m
Answer: 225 m
(5) 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] 11.475 rad/s2
[C] 12.475 rad/s2
[D] 13.475 rad/s2
Answer: 10.475 rad/s2
(6) 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] 333.4
[B] 444.4
[C] 555.4
[D] 666.4
Answer: 333.4
(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?
[A] 288.6 m/s
[B] 388.6 m/s
[C] 488.6 m/s
[D] 188.6 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 the end of the interval ?
[A] 235.5 m/s
[B] 335.5 m/s
[C] 435.5 m/s
[D] 535.5 m/s
Answer: 235.5 m/s
(9) 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 normal component of the acceleration of the mid-point of the bar after 5 seconds after the acceleration begins ?
[A] 2.7 m/s2
[B] 3.7 m/s2
[C] 4.7 m/s2
[D] 5.7 m/s2
Answer: 4.7 m/s2
(10) 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 tangential component of the acceleration of the mid-point of the bar after 5 seconds after the acceleration begins ?
[A] 18287 m/s2
[B] 18387 m/s2
[C] 18487 m/s2
[D] 18587 m/s2
Answer: 30 mph

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