**Problem Statement:**A wheel rotates at a constant rate of \(3.20 \times 10^{3}\) rev/min.**(a)** What is its angular velocity in radians per second? (Enter the magnitude.)- [ ] rad/s**(b)** Through what angle does it turn in 37 s? Express the solution in radians and degrees.- In radians: [ ] rad- In degrees: [ ] ° This exercise involves converting rotational speed from revolutions per minute to angular velocity in radians per second and calculating the angle in radians and degrees for a given time interval.

As we know, Angular velocity (ω) = v/r (rad/s) (1 rev/ min)*(2π/1)*(1/60s) = rad/s -----(1) Also,…

A wheel rotates at a constant rate of 3.20 x 103 rev/min. (a) What is its angular velocity in radians per second? (Enter the magnitude.) rad/s (b) Through what angle does it turn in 37 s? Express the solution in radians and degrees. in radians in degrees rad

A wheel rotates at a constant rate of 3.20 x 103 rev/min. (a) What is its angular velocity in radians per second? (Enter the magnitude.) rad/s (b) Through what angle does it turn in 37 s? Express the solution in radians and degrees. in radians in degrees rad

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

**Problem Statement:**

A wheel rotates at a constant rate of \(3.20 \times 10^{3}\) rev/min.

**(a)** What is its angular velocity in radians per second? (Enter the magnitude.)

- [ ] rad/s

**(b)** Through what angle does it turn in 37 s? Express the solution in radians and degrees.

- In radians: [ ] rad
- In degrees: [ ] °

This exercise involves converting rotational speed from revolutions per minute to angular velocity in radians per second and calculating the angle in radians and degrees for a given time interval.

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