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The length of a bicycle pedal arm is 0.152 m, and a downward force of 111 N is applied to the pedal by the rider.What is the magnitude of the torque about the pedal arm’s pivot when the arm is at angle (a) 30°, (b) 90°, and (c) 180° with the vertical?

Respuesta :

Answer:

8.436 Nm

16.872 Nm

0

Explanation:

When we multiply the force with the distance at which the force is being applied we get torque

[tex]\tau=Frsin\theta[/tex]

where

F = Force = 111 N

r = Distance = 0.152 m

[tex]\theta[/tex] = Angle at which force is applied

When, [tex]\theta=30^{\circ}[/tex]

[tex]\tau=111\times 0.152sin30\\\Rightarrow \tau=8.436\ Nm[/tex]

The torque is 8.436 Nm

When, [tex]\theta=90^{\circ}[/tex]

[tex]\tau=111\times 0.152sin90\\\Rightarrow \tau=16.872\ Nm[/tex]

The torque is 16.872 Nm

When, [tex]\theta=180^{\circ}[/tex]

[tex]\tau=111\times 0.152sin180\\\Rightarrow \tau=0\ Nm[/tex]

The torque is 0