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Question

The angular velocity of a body is ω=2^i+3^j+4^k and a torque τ=^i+2^j+3^k acts on it . The rotational power will be

A
20 watt
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B
15 watt
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C
17 watt
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D
14 watt
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Solution

The correct option is B 20 watt
P=τ×ω
P=(^i+2^j+3^k)(2^i+3^k+4^k)
(1×2)+(2×3)+(3×4)
=2+6+12
P=20 watt

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