Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 4.1, Problem 1cT
Suppose the wheel makes one complete revolution in 2 seconds.
- For each of the following points, find the change in angle
- point A
- point B
- point C
Find the rate of change in the angle for any point on the wheel.
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A Ferris wheel has a radius of 42.4 feet. The bottom of the Ferris wheel sits 0.8 feet above
the ground. You board the Ferris wheel at the 6 o'clock position and rotate counter-
clockwise.
a. Define a function, f that gives your height above the ground (in feet) in terms of the
angle of rotation (measured in radians) you have swept out from the 6 o'clock
position, a
f(a)-42.4sin(a)+43.2
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b. Define a function, g, that gives your height above the ground (in feet) in terms of the
number of feet you have rotated counter-clockwise from the 6 o'clock position, s.
g(s)=43.2+42.2sin(s/42.4)
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For each of the following problems, a point is rotating with uniform circular motion on acircle of radius r. Give your answer in exact form.
Find v if r = 2 ft and the point rotates at 40 rpm.
Point X moves in a circular path of 6-m radius so that its arc distance from an initial position Y is given by the relation s = 6t3 – 4t.
a. Find the tangential components of acceleration of the point for the instant after 1s.
b. Find the normal components of acceleration of the point for the
instant after 1s.
Chapter 4 Solutions
Tutorials in Introductory Physics
Ch. 4.1 - Draw arrows on the diagram to represent the...Ch. 4.1 - Mark the position of each of the labeled points at...Ch. 4.1 - Suppose the wheel makes one complete revolution in...Ch. 4.1 - Would two observers on either side of a rotating...Ch. 4.1 - The diagrams at right show top and side views of...Ch. 4.1 - In the space at right sketch the position vectors...Ch. 4.1 - Let | in terms of |o| . 1. The wheel is made to...Ch. 4.1 - Suppose the wheel slows down uniformly, so that ||...Ch. 4.1 - A force of magnitude Fo is applied to point M as...Ch. 4.1 - Compare the magnitude of the net torque about the...
Ch. 4.2 - A ruler is placed on a pivot and held at an angle...Ch. 4.2 - Draw a free-body diagram for the ruler (after it...Ch. 4.2 - How would your free-body diagram change if the...Ch. 4.2 - Predict: which spool will reach the floor first....Ch. 4.2 - Obtain two spools and a ring stand. Use the...Ch. 4.2 - Consider the following discussion between three...Ch. 4.2 - Write down Newton’s second law for each spool....Ch. 4.3 - A T-shaped board of uniform mass density has two...Ch. 4.3 - Prob. 1bTCh. 4.3 - Attach day to the bottom left side of the board so...Ch. 4.3 - Prob. 2bTCh. 4.3 - C. Imagine that the T-shaped board (with no clay...
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