A torque of 50 Nm is applied to a wheel with a radius of 0.5 m. What is the forc
Practice Questions
Q1
A torque of 50 Nm is applied to a wheel with a radius of 0.5 m. What is the force applied tangentially to the wheel?
100 N
50 N
25 N
75 N
Questions & Step-by-Step Solutions
A torque of 50 Nm is applied to a wheel with a radius of 0.5 m. What is the force applied tangentially to the wheel?
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) = 50 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 = 50 Nm / 0.5 m.
Step 5: Calculate the result: F = 100 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.
Units of Measurement – Understanding the units of torque (Nm), force (N), and radius (m) is crucial for solving problems involving rotational dynamics.
