A torque of 12 Nm is applied to a wheel with a radius of 0.4 m. What is the forc

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Question: A torque of 12 Nm is applied to a wheel with a radius of 0.4 m. What is the force applied tangentially to the wheel?

Options:

Correct Answer: 30 N

Solution:

Using τ = F × r, we have F = τ / r = 12 Nm / 0.4 m = 30 N.

A torque of 12 Nm is applied to a wheel with a radius of 0.4 m. What is the force applied tangentially to the wheel?

A torque of 12 Nm is applied to a wheel with a radius of 0.4 m. What is the force applied tangentially to the wheel?

Step 1: Understand the formula for torque (τ), which is τ = F × r, where F is the force and r is the radius.
Step 2: Identify the values given in the question: torque (τ) is 12 Nm and radius (r) is 0.4 m.
Step 3: Rearrange the formula to solve for force (F): F = τ / r.
Step 4: Substitute the values into the formula: F = 12 Nm / 0.4 m.
Step 5: Calculate the force: 12 divided by 0.4 equals 30.
Step 6: Conclude that the force applied tangentially to the wheel is 30 N.

Torque – Torque is the rotational equivalent of linear force, calculated as the product of force and the radius at which the force is applied.
Tangential Force – Tangential force is the component of force that acts along the edge of a wheel, causing it to rotate.
Formula Application – Understanding how to rearrange and apply the formula τ = F × r to solve for force.