Answer
$ 8.436\ N.m$
Work Step by Step
Given:
Length of a bicycle pedal arm is $ r = 0.152\ m$
Downward acting force $F = 111\ N$
Inclination angle $\theta = 30^{\circ}$
The magnitude of the torque is given by:
$\tau = Frsin\theta$
$\tau = (111\ N)(0.152\ m) (sin30^{\circ})$
$\tau = 8.436\ N.m$