A 5N weight is balanced on the top of a vertical wheel of radius 1 m. The torque, exerted by the weight, on the axis of rotation of the wheel is
5 Nm
6 Nm
1 Nm
Zero
Answers
Answer:
zero
please give me support
Torque exerted on the wheel is (d)zero newton.
Given:
Force exerted by the weight = 5 N
Radius of the wheel = 1 m
To find:
Torque exerted by the weight on the axis of the wheel
Explanation:
- Torque, is a term used in rotational mechanics for force exerted on rotating body by virtue of which movement or displacement is produced by the body.
- Mathematically, torque is the cross product of the linear force and the distance between the axis of rotation and point of application of force.
Torque τ = F × R
τ = F R sinθ
where,
τ (Tou) = torque
F = force
R = radius ; and
sinθ = angle made by the direction of application of force and radius R
Solution:
We have been given that the load or weight is kept on top off a vertical wheel and the force exerted by the mass = 5 N.
Here, we see that the angle made by the load with the axis of the wheel is 0°, since the load is kept on top of a vertical wheel. The force generated by the load is acted towards the ground.
Since, there is no angle made therefore, no torque could be produced by the wheel.
Mathematically,
τ = F R sinθ
τ = (5) (1) sin(0°)
Hence,
τ = 0 N
Final answer:
Hence, the torque exerted by the weight on the axis of the wheel is 0 N.