An object with a mass of $3 k g$ $3 kg$ is traveling in a circular path of a radius of $7 m$ $7 m$ . If the object's angular velocity changes from $6 H z$ $6 Hz$ to $9 H z$ $9 Hz$ in $3 s$ $3 s$ , what torque was applied to the object?

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Answer 1 · 2017-11-11T01:24:36

$923.6 Nm$ $"923.6 Nm"$ of torque was applied to object.

Torque is rate of change of angular momentum.

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

$T = ("3 kg × (7 m)"^2 × 2 π (9 - 6) "Hz")/"3 s" = "923.6 Nm"$

An object with a mass of 3 kg3kg 3 kg is traveling in a circular path of a radius of 7 m7m7 m. If the object's angular velocity changes from 6 Hz6Hz 6 Hz to 9 Hz9Hz 9 Hz in 3 s3s3 s, what torque was applied to the object?