Machine Kinematics Questions and Answers – Numericals On Kinematics Of Motion

Questions
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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