GATE ME 2026 Set 1 — Question 16
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Engineering Mechanics → Dynamics → Kinematics of Rigid Bodies
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Question
A horizontal disk has a radial frictionless slot in which a small block is confined to slide. The disk turns anticlockwise about its centre with a constant angular velocity of 3 rad/s. If the block slides along the slot with a constant speed of 0.2 m/s relative to the slot, then the magnitude of Coriolis acceleration in m/s² is
Correct answer
(A) 1.2
Solution
The magnitude of the Coriolis component of acceleration () is given by the formula:where,
is the angular velocity of the rotating frame (the disk).
is the relative velocity of the object (the block) with respect to the rotating frame.Given data:
Angular velocity, rad/s
Relative velocity of the block, m/sSubstituting the given values into the formula:Therefore, the magnitude of the Coriolis acceleration is 1.2 m/s².
is the angular velocity of the rotating frame (the disk).
is the relative velocity of the object (the block) with respect to the rotating frame.Given data:
Angular velocity, rad/s
Relative velocity of the block, m/sSubstituting the given values into the formula:Therefore, the magnitude of the Coriolis acceleration is 1.2 m/s².
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