An object with a mass of $8 k g$ $8 kg$ is traveling in a circular path of a radius of $12 m$ $12 m$ . If the object's angular velocity changes from $5 H z$ $5 Hz$ to $4 H z$ $4 Hz$ in $5 s$ $5 s$ , what torque was applied to the object?

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An object with a mass of $8 k g$ $8 kg$ is traveling in a circular path of a radius of $12 m$ $12 m$ . If the object's angular velocity changes from $5 H z$ $5 Hz$ to $4 H z$ $4 Hz$ in $5 s$ $5 s$ , what torque was applied to the object?

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Answer 1 · 2016-02-22T12:36:37

$L = 230, 4 N \cdot m$ $L=230,4 N*m$

Explanation:

$L = α \cdot I$ $L=alpha*I$
$L : Torque$ $L:" Torque"$
$α : angular acceleration$ $alpha:" angular acceleration"$
$I : moment of inertia of object$ $I:" moment of inertia of object"$
$α = \frac{Δ w}{Δ t}$ $alpha=(Delta w)/(Delta t)$
$alpha=(2*pi(4-5))/5$
$alpha=-(2*pi)/5$
$I=m*r^2$
$I=8*12^2=144*8=1152$
$L=-(1152*2*pi)/5$
$L=230,4 N*m$

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An object with a mass of $8 k g$ $8 kg$ is traveling in a circular path of a radius of $12 m$ $12 m$ . If the object's angular velocity changes from $5 H z$ $5 Hz$ to $4 H z$ $4 Hz$ in $5 s$ $5 s$ , what torque was applied to the object?

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Explanation:

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An object with a mass of 8 kg8kg 8 kg is traveling in a circular path of a radius of 12 m12m12 m. If the object's angular velocity changes from 5 Hz5Hz 5 Hz to 4 Hz4Hz 4 Hz in 5 s5s 5 s, what torque was applied to the object?

1 Answer

Explanation:

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An object with a mass of $8 k g$ $8 kg$ is traveling in a circular path of a radius of $12 m$ $12 m$ . If the object's angular velocity changes from $5 H z$ $5 Hz$ to $4 H z$ $4 Hz$ in $5 s$ $5 s$ , what torque was applied to the object?