a) What is the magnitude of the tangential acceleration of a bug on the rim of a 12.0-in.-diameter disk if the disk accelerates uniformly from rest to an angular speed of 79.0 rev/min in 4.10 s? Answer in m/s2 (b) When the disk is at its final speed, what is the magnitude of the tangential velocity of the bug? answer in m/s (c) One second after the bug starts from rest, what is the magnitude of its tangential acceleration? Answer in m/s2
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.
(a) What is the magnitude of the tangential acceleration of a bug on the rim of a 12.0-in.-diameter disk if the disk accelerates uniformly from rest to an angular speed of 79.0 rev/min in 4.10 s?
Answer in m/s2
(b) When the disk is at its final speed, what is the magnitude of the tangential velocity of the bug?
answer in m/s
(c) One second after the bug starts from rest, what is the magnitude of its tangential acceleration?
Answer in m/s2
(d) One second after the bug starts from rest, what is the magnitude of its centripetal acceleration?
Answer in m/s2
(e) One second after the bug starts from rest, what is its total acceleration? (Take the positive direction to be in the direction of motion.)
| magnitude | ____m/s2 |
| direction | ____° from the radially inward direction |
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