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Engineering Physics by Amal Chakraborty. We covered all the Engineering Physics by Amal Chakraborty in this post for free so that you can practice well for the exam.
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Mock test on Engineering Physics for Students
For which of the following bodies is the rotational kinetic energy equal to the translational kinetic energy?
a) Ring
b) Disc
c) Sphere
d) All of these
Option a – Ring
A flywheel has a moment of inertia of 4 kg·m² and possesses 200 J of kinetic energy. If an opposing couple of 5 N·m acts on it, how many revolutions will it complete before coming to rest?
a) 12.8 rev
b) 24 rev
c) 6.4 rev
d) 16 rev
Option c – 6.4 rev
A flywheel with a moment of inertia of 0.32 kg·m² rotates uniformly at 120 rad/s using a 50 W motor. What is the kinetic energy stored in the flywheel?
a) 4608 J
b) 1152 J
c) 2304 J
d) 6952 J
Option c – 2304 J
A body having a moment of inertia of 3 kg·m² rotates with an angular speed of 2 rad/s. It has the same kinetic energy as a particle of Mass 12 kg moving with what linear speed?
a) 1 m/s
b) 2 m/s
c) 4 m/s
d) 8 m/s
Option a – 1 m/s
A thin uniform ring of Mass 10 kg and radius 0.5 m rotates about an axis through its centre, perpendicular to its plane, at 600 rpm. What is its rotational kinetic energy?
a) 9860 J
b) 4930 J
c) 493 J
d) 9.86 J
Option b – 4930 J
A body with a moment of inertia of 1.2 kg·m² is initially at rest. An angular acceleration of 25 rad/s² is applied until the body gains 1500 J of kinetic energy. For how long is the acceleration applied?
a) 4 s
b) 2 s
c) 8 s
d) 10 s
Option b – 2 s
A particle moving in a circular path has its linear momentum directed along which direction?
a) Tangential
b) Radial
c) Centripetal
d) At 45° to the tangent
Option a – Tangential
The moment of inertia of a rotating wheel about its axis is 3 (SI units). If its rotational kinetic energy is 600 J, what is the time period of rotation?
a) 0.05 s
b) 0.314 s
c) 3.18 s
d) 20 s
Option b – 0.314 s
A Solid spherical ball of Mass 1 kg and radius 3 cm rotates about an axis through its centre with an angular velocity of 50 rad/s. What is its rotational kinetic energy?
a) 4500 J
b) 90 J
c) 9/8 J
d) 9/20 J
Option d – 9/20 J
A sphere rotating about its diameter has rotational kinetic energy equal to 360 J. If its angular speed is 30 rad/s, what is its moment of inertia?
a) 0.4 kg·m²
b) 0.6 kg·m²
c) 0.8 kg·m²
d) 1.2 kg·m²
Option c – 0.8 kg·m²
A flywheel is a uniform circular disc of radius 1 m and Mass 2 kg. What approximate work must be done to increase its rotational frequency from 5 rev/s to 10 rev/s?
a) 1.5 × 10² J
b) 3.0 × 10² J
c) 1.5 × 10³ J
d) 3.0 × 10³ J
Option c – 1.5 × 10³ J
A wheel of Mass 2 kg has almost all its Mass concentrated at the rim of a circle of radius 20 cm. If it rotates with an angular speed of 100 rad/s, what is its rotational kinetic energy?
a) 4 J
b) 70 J
c) 400 J
d) 800 J
Option c – 400 J
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