A car is moving in a circular path of radius 50 m with a speed of 15 m/s. What i

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Question: A car is moving in a circular path of radius 50 m with a speed of 15 m/s. What is the angular displacement after 10 seconds?

Options:

Correct Answer: 4 rad

Solution:

Angular displacement θ = (v/r)t = (15/50)(10) = 3 rad.

A car is moving in a circular path of radius 50 m with a speed of 15 m/s. What is the angular displacement after 10 seconds?

A car is moving in a circular path of radius 50 m with a speed of 15 m/s. What is the angular displacement after 10 seconds?

Step 1: Identify the given values. The speed of the car (v) is 15 m/s, the radius of the circular path (r) is 50 m, and the time (t) is 10 seconds.
Step 2: Use the formula for angular displacement (θ) which is θ = (v/r) * t.
Step 3: Calculate the ratio of speed to radius (v/r). This is 15 m/s divided by 50 m, which equals 0.3.
Step 4: Multiply the result from Step 3 by the time (t). So, 0.3 * 10 seconds equals 3 radians.
Step 5: Conclude that the angular displacement after 10 seconds is 3 radians.

Circular Motion – Understanding the relationship between linear speed, radius, and angular displacement in circular motion.
Angular Displacement Calculation – Using the formula θ = (v/r)t to calculate angular displacement based on linear speed, radius, and time.