EBK PHYSICS FOR SCIENTISTS AND ENGINEER
9th Edition
ISBN: 9780100460300
Author: SERWAY
Publisher: YUZU
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Chapter 13, Problem 13.22P
Two planets X and Y travel counterclockwise in circular orbits about a star as shown in Figure P13.22. The radii of their orbits are in the ratio 3:1. At one moment, they are aligned as shown in Figure P13.22a, making a straight line with the star. During the next five years, the
Figure P13.22
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A Ferris wheel on a California pier is 27 m high and rotates once every 32 seconds. When the wheel starts turning, you are at the very top.a. What is your angular position 75 seconds after the wheel starts turning, measured counterclockwise from the top?Express your answer as an angle between 0° and 360°.b. What is your speed ν?
A sphere, centred on the origin, has radius 31.7 cm,
and is spinning at 3 revolutions per second with its
axis of rotation along the z-axis. A point is chosen
with position vector a = (9, -14, 27) cm on the surface
of the sphere.
a. Calculate the vector representing the angular
velocity of the sphere, w, in rad/s.
i+
(1)
k rad/s
V =
b. Calculate the velocity v of point a in units of
ms-1
i+
k ms-1
j+
Note the units given in the question.
j+
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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Chapter 13 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
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