Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Textbook Question
Chapter 88, Problem 7AR
The following figure shows four equally spaced holes on a bolt circle circumference. Give the polar coordinates of each of the holes. All dimensions are in millimeters.
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Two sprinklers with a spray radius of 50 feet are located 50 feet apart.
Find the total area covered by sprinklers if they are both on at full power in two different ways.
A. Set up polar coordinate equations and use calculus.
B. Use basic facts of geometry.
A toy racecar races along a circular race track that has a radius of 26 meters. The racecar starts at the 3-o'clock position of the track and travels in the CCW direction.
Suppose the racecar has traveled 55 meters along the race track.
a. How many radians has the racecar swept out?
b. What is the racecar's distance to the right of the center of the race track (in meters)?
meters
c. What is the racecar's distance above the center of the race track (in meters)?
d. Let dd represent the racecar's varying distance traveled (in meters) along the circular race track.Write an expression (in terms of dd) to represent the racecar's distance to the right of the center of the race track (in meters).
e. Write an expression (in terms of dd) to represent the racecar's distance above the center of the race track (in meters).
II.
Two sprinklers with a spray radius of 50 feet are located 50 feet apart.
Find the total area covered by the sprinklers if they are both on at full
power in two different ways.
A. Set up polar coordinate equations and use calculus.
B. Use basic facts of geometry.
Chapter 88 Solutions
Mathematics For Machine Technology
Ch. 88 - Prob. 1ARCh. 88 - Refer to the points plotted on the Cartesian...Ch. 88 - Prob. 3ARCh. 88 - Prob. 4ARCh. 88 - Prob. 5ARCh. 88 - Prob. 6ARCh. 88 - The following figure shows four equally spaced...Ch. 88 - Prob. 8ARCh. 88 - Express the following decimal numbers as binary...Ch. 88 - Prob. 10AR
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Similar questions
- The following figure shows eight equally spaced holes on a bolt circle circumference. Give the polar coordinates of each of the holes. All dimensions are in inches.arrow_forwardFind the angle between u=2,1 and v=1,3.arrow_forwardb. In the afternoon, Kirk returns and observes the geyser's spray reach a height of 123 feet when the angle of elevation is 37°. How far from the geyser is Kirk standing to the nearest tenth of a foot?arrow_forward
- Do ONE ONLY of the following. Round all magnitudes to two decimal places and angles to one decimal place. Either: Find the following sum. Give your final answer in polar form. 4270° + 3440° Change -5+ 2; to polar form and use the result to simplify (-5+2j)* Express your tinal answer in rectangular form. Or:arrow_forwardConvert the following polar coordinates to Cartesian coordinates. Please use 6 significant digits in your calculations. Remember that polar coordinates use radians to measure θ. a)(r, θ) = (7.2, 1.3π) b) (r, θ) = (6.4, 0.81π) c) (r, θ) = (−1.5, −0.71π) d) (r, θ) = (−3.9, 0.73π)arrow_forwardTwo types of phonograph records, LP albums and singles, have diameters of 12 inches and 7 inches, respectively. The album rotates at a rate of 33 1/3 rpm, and the single rotates at 45 rpm. Find the closest angular speed (in radians per minute) of the album. *arrow_forward
- A car travels 50.0 km due north and then 30 km 30 degrees in the direction of west of north. Find themagnitude and direction of the car’s resultant displacement using trigonometric method.arrow_forwardYou are standing at the top of a lighthouse, looking down towards a boat on the water. From your position in the lighthouse, you are 67.7 metres above ground. The boat is a horizontal distance of 74.7 metres from the lighthouse. Determine the measure of the angle of depression formed between you and the boat. State your answer as a numeric value only, rounded to the nearest tenth of a degree.arrow_forward
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