A diver having a moment of inertia of 6.0 kg-m2 about an axis through its centre of mass rotates at an angular speed of 2 rad/s about this axis. If he folds his hands and feet to decrease the moment of inertia to 5.0 kg-m2, what will be the new angular speed ?
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A diver is able to cut through water in a swimming pool. Which property of matter does this observation show?
The phenomena of cutting the water by the diver show that matter has space between its particles.
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A diver is able to cut through water in a swimming pool. Which property of matter does this observation show?
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A comet orbits the Sun in a highly elliptical orbit. Does the comet have a constant (a) linear speed, (b) angular speed, (c) angular momentum,
No No Yes No No Yes Angular momentum and total energy at all points of the orbit of a comet moving in a highly elliptical orbit around the Sun are constant. Its linear speed, angular speed,...
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Moment of inertia of a circular wire of mass M and radius R about its diameter is
(a) : A circular wire behaves like a ring M.I. about its diameter = (MR2)/2.
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A particle of mass m rotates with a uniform angular speed ω. It is viewed from a frame rotating about the
The right answer is (b) mω02a Explanation: The frame of reference is rotating with a uniform angular speed ω0, so it has an acceleration towards the center and it is a non-inertial...
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The moment of inertia of a uniform semicircular wire of mass M and radius r about a line perpendicular to the plane of the wire through the centre is
(a) Mr2 Explanation: Since the mass of the wire is at a distance r away from the axis. Hence the option (a).
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A thin circular ring of mass M and radius r is rotating about its axis with an angular speed co.
The correct answer is (b) Explanation: Moment of inertia of the ring I = Mr² Angular Momentum = I⍵ When the masses are attached, the moment of Inertia I'= Mr²+2mr² =(M+2m)r² Let the new angular speed...
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A body rotates about a fixed axis with an angular acceleration of one radian/second/second.
α= 1 rad/s2, ω0 = 5 rad/s; ω = 15 rad/s w = w0 + αt t = (ω – ω0)/α = (15 – 5)/1 = 10 sec Also, θ = ω0t + 1/2 αt2 = 5 ×10...
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A disc of radius 10 cm is rotating about its axis at an angular speed of 20 rad/s. Find the linear speed of
A disc of radius = 10 cm = 0.1 m Angular velocity = 20 rad/s Linear velocity on the rim = ωr = 20 × 0.1 = 2 m/s Linear velocity at the...
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A disc rotates about its axis with a constant angular acceleration of 4 rad/s^2. Find the radial and tangential accelerations of a particle at a
t = 1 sec, r = 1 cm = 0.01 m = 4 rd/s2 Therefore ω= αt = 4 rad/s Therefore radial acceleration, An =ω2r = 0.16 m/s2 = 16 cm/s2
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