Scenario #1: USAF 711th Human Performance Wing The US Air Force maintains a large, human-rated centrifuge, which is used to train fighter pilot students for high-acceleration maneuvers. The centrifuge has a radius of 9.4 m and a typical trainee will zip around with a (tangential) speed of 28.8 m/s. Multiple Choice Questions 1) What is the angular speed () of the above centrifuge? a) 3.1 rad/s c) 9.3 rad/s b) 6.2 rad/s d) 12.4 rad/s e) 271 rad/s f) 420 rad/s 2) What is the magnitude of the centripetal acceleration that this student will experience? c) 29.4 m/s² (3g) d) 58.8 m/s² (6g) a) 0 b) 9.8 m/s² (1g) e) 88.2 m/s² (9g) f) 117.6 m/s² (12g) Short Answer Question The centrifuge speed is adjustable. For this question, assume the centrifuge motor starts from rest and uniformly accelerates to a maximum speed of 45 rpm (rotations per minute) over the course of a minute. • What is the magnitude of the angular acceleration (a) in rad/s² for the centrifuge motor? • How many full rotations does the centrifuge motor make during this minute?

Scenario #1: USAF 711th Human Performance Wing The US Air Force maintains a large, human-rated centrifuge, which is used to train fighter pilot students for high-acceleration maneuvers. The centrifuge has a radius of 9.4 m and a typical trainee will zip around with a (tangential) speed of 28.8 m/s. Multiple Choice Questions 1) What is the angular speed () of the above centrifuge? a) 3.1 rad/s c) 9.3 rad/s b) 6.2 rad/s d) 12.4 rad/s e) 271 rad/s f) 420 rad/s 2) What is the magnitude of the centripetal acceleration that this student will experience? c) 29.4 m/s² (3g) d) 58.8 m/s² (6g) a) 0 b) 9.8 m/s² (1g) e) 88.2 m/s² (9g) f) 117.6 m/s² (12g) Short Answer Question The centrifuge speed is adjustable. For this question, assume the centrifuge motor starts from rest and uniformly accelerates to a maximum speed of 45 rpm (rotations per minute) over the course of a minute. • What is the magnitude of the angular acceleration (a) in rad/s² for the centrifuge motor? • How many full rotations does the centrifuge motor make during this minute?

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

Scenario #1: USAF 711th Human Performance Wing
The US Air Force maintains a large, human-rated centrifuge, which is used to train fighter pilot students for
high-acceleration maneuvers. The centrifuge has a radius of 9.4 m and a typical trainee will zip around with a
(tangential) speed of 28.8 m/s.
Multiple Choice Questions
1) What is the angular speed (@) of the above centrifuge?
a) 3.1 rad/s
c) 9.3 rad/s
d) 12.4 rad/s
b) 6.2 rad/s
e) 271 rad/s
f)
420 rad/s
2) What is the magnitude of the centripetal acceleration that this student will experience?
c) 29.4 m/s² (3g)
d) 58.8 m/s² (6g)
e) 88.2 m/s² (9g)
f) 117.6 m/s² (12g)
a) 0
b) 9.8 m/s² (1g)
Short Answer Question
The centrifuge speed is adjustable. For this question, assume the centrifuge motor starts from rest and uniformly
accelerates to a maximum speed of 45 rpm (rotations per minute) over the course of a minute.
• What is the magnitude of the angular acceleration (a) in rad/s² for the centrifuge motor?
• How many full rotations does the centrifuge motor make during this minute?

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