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(I) A 52-kg person riding a bike puts all her weight on each pedal when climbing a hill. The pedals rotate in a circle of radius 17 cm. (a) What is the maximum torque she exerts? (b) How could she exert more torque?

Respuesta :

Answer:

a. 86.7 Nm

b. b. By making sure her foot is on the outermost edge of the pedal aat all times

Explanation:

a. Torque = force  * perpendicular distance

                = (52 kg * 9.81 m/s²)  * 0.17 m

                = 86.7204 Nm

b. Torque can be increased by increasing the force exerted peperndicular to the distance from the fulcrum or by increasing the distance itself. Since the person cannot increase their weight, they have to maximize the distance from the fulcrum

The maximum torque is 86.7204 Nm and the rider can increase this by putting int leg on the edge of the paddle.  

What is Torque?

It is defined as the force that causes the rotation of an object on an axis. It is measured in Nm.

[tex]\tau = rF\sin\theta[/tex]

[tex]\tau[/tex] = torque

[tex]r\\[/tex] = radius

[tex]F[/tex] = force = mg = (52 kg x  9.81 m/s²) = 510.12 N

= angle between F and the lever arm

Torque = force  x perpendicular distance

Put the values,  

Torque= 510.12 N x 0.17 m  

Torque = 86.7204 Nm

B) Since the torque is directly proportional to the force and perpendicular distance. Hence, the rider must increase the perpendicular distance in order to increase the torque.

Therefore, the maximum torque is 86.7204 Nm and the rider can increase this by putting int leg on the edge of the paddle.

To know more about Torque:

https://brainly.com/question/25705121