Question: A torque of 10 Nm is applied to a wheel. If the radius of the wheel is 0.2 m, what is the force applied tangentially?
Options:
50 N
20 N
10 N
5 N
Correct Answer: 50 N
Solution:
Torque (Ο) = F Γ r; therefore, F = Ο / r = 10 Nm / 0.2 m = 50 N.
A torque of 10 Nm is applied to a wheel. If the radius of the wheel is 0.2 m, wh
Practice Questions
Q1
A torque of 10 Nm is applied to a wheel. If the radius of the wheel is 0.2 m, what is the force applied tangentially?
50 N
20 N
10 N
5 N
Questions & Step-by-Step Solutions
A torque of 10 Nm is applied to a wheel. If the radius of the wheel is 0.2 m, what is the force applied tangentially?
Step 1: Understand the formula for torque, which is Ο = F Γ r, where Ο is torque, F is force, and r is the radius.
Step 2: Identify the values given in the question: Torque (Ο) = 10 Nm and Radius (r) = 0.2 m.
Step 3: Rearrange the formula to solve for force (F): F = Ο / r.
Step 4: Substitute the values into the formula: F = 10 Nm / 0.2 m.
Step 5: Calculate the force: F = 50 N.
Torque β 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 β Tangential force is the component of force that acts along the edge of a circular path, responsible for causing rotational motion.
Units of Measurement β Understanding the units of torque (Nm) and force (N) is crucial for correctly applying formulas.
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