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 $2 H z$ $2 Hz$ to $7 H z$ $7 Hz$ in $6 s$ $6 s$ , what torque was applied to the object?

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Answer 1 · 2017-11-11T01:27:54

$6031.86 Nm$ $"6031.86 Nm"$ of torque was applied to object.

Torque is rate of change of angular momentum.

$T = (I(omega_f - ω_i))/t = (I2pi(f_f - f_i))/t = (mr^2 2pi(f_f - f_i))/t$

$T = ("8 kg × (12 m)"^2 × 2 π (7 - 2) "Hz")/"6 s" = "6031.86 Nm"$

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 2 Hz2Hz 2 Hz to 7 Hz7Hz 7 Hz in 6 s6s 6 s, what torque was applied to the object?