The angular velocity of a body is -2 -3 -4 k and a torque t -2 -3 k acts on it- The rotational power will beA- -14 WB- 20 WC- 15 WD- -17 W

The correct option is B 20 WPower (P) = τ⃗.ω⃗ = (i+2j+3k).(2i+3j+4k) = 2+6+12 = 20 W ...

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Rotational Power

The angular v...

Question

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

20 W

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15 W

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Solution

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\to ω = 3^i + 2^j + 3^k

\to τ = 2^i + + 3^j + 4^k

\to ω = 2 ˆ i + 3 ˆ j + 4 ˆ k

\to τ = ˆ i + 2 ˆ j + 3 ˆ k

(\to ω) =^i - 2^j + 3^k

(\to r) =^i +^j +^k

\to ω = 4^i +^j - 2^k

^i + 3^j - 3^k

\to V = \to ω \times \to r,

\to ω

\to r

\to ω =^i - 2^j + 2^k

\to r = 4^j - 3^k,

| \to V |

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