The angle that a spinning disc rotates through as a function of time is given in radians as0(t) = 2 + 3t – 2t?a. What is the angular velocity of the disc as a function of time?b. What is the angular acceleration of the disc?c. If the disc has a radius of 2 meters, what is the magnitude of the tangential velocity of a pointon the edge of the disc when t=10 seconds?

Answered: The angle that a spinning disc rotates…

The angle that a spinning disc rotates through as a function of time is given in radians as 0(t) = 2 + 3t – 2t? a. What is the angular velocity of the disc as a function of time?

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter6: Uniform Circular Motion And Gravitation

Section: Chapter Questions

Problem 4PE: (a) What is the period of rotation of Earth in seconds? (b) What is the angular velocity of Earth?...

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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

The angle that a spinning disc rotates through as a function of time is given in radians as
0(t) = 2 + 3t – 2t?
a. What is the angular velocity of the disc as a function of time?
b. What is the angular acceleration of the disc?
c. If the disc has a radius of 2 meters, what is the magnitude of the tangential velocity of a point
on the edge of the disc when t=10 seconds?

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