A bicycle-chain wheel with a radius of 7.70 cm is attached to a chain that exerts a 35.0-n force on the wheel in the clockwise direction. what torque would be needed to keep the wheel from turning?

Respuesta :

Torque on the wheel produced by the chain is given by,

τ= F×R= FRsin∅

here, R is the radius of the wheel = 7.70 cm=0.077 m

∅= angle between the action of force and point of contact = 90°(angle between wheel and the chain)

Substituting the values,

τ=[tex] 35.0*0.077*sin90° [/tex]

= 2.6 N

It is the force exerted by the chain on the wheel. Therefore, a torque of 2.6 N would be needed to stop the wheel form turning.

Answer:

Torque, [tex]\tau=2.69\ N-m[/tex]

Explanation:

It is given that,

Radius of the wheel, r = 7.7 cm = 0.077 m

Force exerted on the wheel, F = 35 N

To find,

Torque needed to keep the wheel from turning.

Solution,

We know that the product of force and distance is called torque. It is given by :

[tex]\tau=r\times F[/tex]

[tex]\tau=0.077\ m\times 35\ N[/tex]

[tex]\tau=2.69\ N-m[/tex]

So, the torque needed to keep the wheel from turning is 2.69 N-m.

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