A torque of 30 Nm is applied to a wheel. If the radius of the wheel is 0.5 m, wh

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Question: A torque of 30 Nm is applied to a wheel. If the radius of the wheel is 0.5 m, what is the force applied tangentially?

Options:

Correct Answer: 60 N

Solution:

Torque (τ) = Force (F) × Radius (r) => F = τ / r = 30 Nm / 0.5 m = 60 N.

A torque of 30 Nm is applied to a wheel. If the radius of the wheel is 0.5 m, what is the force applied tangentially?

A torque of 30 Nm is applied to a wheel. If the radius of the wheel is 0.5 m, what is the force applied tangentially?

Step 1: Understand the formula for torque, which is Torque (τ) = Force (F) × Radius (r).
Step 2: Identify the values given in the question: Torque (τ) = 30 Nm and Radius (r) = 0.5 m.
Step 3: Rearrange the formula to solve for Force (F): F = τ / r.
Step 4: Substitute the values into the formula: F = 30 Nm / 0.5 m.
Step 5: Calculate the result: F = 60 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 circular path, responsible for causing rotational motion.
Formula Rearrangement – Understanding how to rearrange the torque formula to solve for force is crucial in applying the correct mathematical principles.