A rotating disc has a radius R and is spinning with an angular velocity ω. What

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Question: A rotating disc has a radius R and is spinning with an angular velocity ω. What is the linear speed of a point on the edge of the disc?

Options:

Correct Answer: Rω

Solution:

The linear speed v of a point on the edge of the disc is given by v = Rω.

A rotating disc has a radius R and is spinning with an angular velocity ω. What is the linear speed of a point on the edge of the disc?

A rotating disc has a radius R and is spinning with an angular velocity ω. What is the linear speed of a point on the edge of the disc?

Step 1: Understand that the disc is spinning around its center.
Step 2: Identify the radius R, which is the distance from the center of the disc to the edge.
Step 3: Recognize that angular velocity ω tells us how fast the disc is spinning in terms of angles per time (like degrees or radians per second).
Step 4: Realize that linear speed v is how fast a point on the edge of the disc is moving in a straight line.
Step 5: Use the formula v = Rω, where v is the linear speed, R is the radius, and ω is the angular velocity.
Step 6: Plug in the values of R and ω to find the linear speed v.

Angular Velocity and Linear Speed – The relationship between angular velocity (ω) and linear speed (v) is defined by the formula v = Rω, where R is the radius of the rotating object.