The axis of a circular cylinder coincides with the -axis and it rotates with an angular velocity of (3i–5j +9k) rad/s. Determine i. the tangential velocity at a point P on the cylinder, whose co-ordinates are (j+5k) metres, b. ii. the magnitude of the tangential velocity.

The axis of a circular cylinder coincides with the -axis and it rotates with an angular velocity of (3i–5j +9k) rad/s. Determine i. the tangential velocity at a point P on the cylinder, whose co-ordinates are (j+5k) metres, b. ii. the magnitude of the tangential velocity.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter10: Fixed-axis Rotation

Section: Chapter Questions

Problem 43P: A circular disk of radius 10 cm has a contant angular acceleration of 1.0rad/s2 ; at t=0 its angular...

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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 axis of a circular cylinder coincides with the z-axis and it
rotates with an angular velocity of (3i-5j +9k) rad/s. Determine
i. the tangential velocity at a point P on the cylinder,
whose co-ordinates are (j +5k) metres,
b.
ii. the magnitude of the tangential velocity.

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