Question: An object is moving in a circular path with a radius of 3 m and an angular speed of 2 rad/s. What is the linear speed of the object?
Options:
3 m/s
6 m/s
9 m/s
12 m/s
Correct Answer: 6 m/s
Solution:
Linear speed (v) = rω = 3 m * 2 rad/s = 6 m/s.
An object is moving in a circular path with a radius of 3 m and an angular speed
Practice Questions
Q1
An object is moving in a circular path with a radius of 3 m and an angular speed of 2 rad/s. What is the linear speed of the object?
3 m/s
6 m/s
9 m/s
12 m/s
Questions & Step-by-Step Solutions
An object is moving in a circular path with a radius of 3 m and an angular speed of 2 rad/s. What is the linear speed of the object?
Step 1: Identify the radius of the circular path. In this case, the radius (r) is 3 meters.
Step 2: Identify the angular speed of the object. Here, the angular speed (ω) is 2 radians per second.
Step 3: Use the formula for linear speed, which is v = r * ω.
Step 4: Substitute the values into the formula: v = 3 m * 2 rad/s.
Step 5: Calculate the result: v = 6 m/s.
Circular Motion – The relationship between linear speed and angular speed in circular motion, where linear speed is calculated as the product of the radius and angular speed.
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