Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Chapter 46, Problem 23A
To determine
The value of working depth.
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Students have asked these similar questions
Two parallel tangents 10 m apart are connected by a
reversed curve. The chord length from the P.C. to the P.T.
equals 120 m.
Rounding off shall be done at the final calculation.
Express your answer into two decimal places and do not
type the units.
Determine the following:
1. length of tangent with common direction in meters
2. equal radius of the reversed curve in meters.
3. stationing of PC if the stationing of PI(1) at the
beginning of the tangent with common direction is at
3+420.
4. stationing of PRC
5. stationing of PT.
1. A mixing blade on a food processor extends out 2 inches from its center. If the blade is turning at 600 revolutions per minute, what is the linear velocity of the tip of the blade in feet per minute? (Round your answer to the nearest whole number.)
2. The Cleveland City Cable Railway had a 14-foot-diameter pulley to drive the cable. In order to keep the cable cars moving at a linear velocity of 17 miles per hour, how fast would the pulley need to turn (in revolutions per minute)? (1 mi = 5,280 ft. Round your answer to the nearest tenth.)
3. Point P moves with angular velocity ω on a circle of radius r. Find the distance s traveled by the point in time t.
ω = 4 rad/sec, r = 3 inches, t = 5 sec
4. Point P sweeps out central angle θ as it rotates on a circle of radius r as given below. Find the angular velocity of point P.
θ = 24, t = 8 min
3. Miley rides her wrecking ball during leisure. On a Wednesday, she swings an initial arc
distance of 25 m. With each succeeding swing, she travels along an arc that is three
quarters as long as the arc distance of the previous swing.
b. Miley was tired after 14 swings and decided to stop after swinging one last time.
What is the total length that Miley swung? Round off the answer to four decimal
places.
Chapter 46 Solutions
Mathematics for Machine Technology
Ch. 46 - Prob. 1ACh. 46 - Prob. 2ACh. 46 - Prob. 3ACh. 46 - Prob. 4ACh. 46 - Prob. 5ACh. 46 - Read the setting on the following 0.001-inch...Ch. 46 - Prob. 7ACh. 46 - Refer to the Decimal-Inch Spur Gears Table under...Ch. 46 - Prob. 9ACh. 46 - Prob. 10A
Ch. 46 - Prob. 11ACh. 46 - Refer to the Decimal-Inch Spur Gears Table under...Ch. 46 - Prob. 13ACh. 46 - Prob. 14ACh. 46 - Prob. 15ACh. 46 - Prob. 16ACh. 46 - Prob. 17ACh. 46 - Prob. 18ACh. 46 - Prob. 19ACh. 46 - Refer to the Decimal-Inch Spur Gears Table under...Ch. 46 - Prob. 21ACh. 46 - Prob. 22ACh. 46 - Prob. 23ACh. 46 - Prob. 24ACh. 46 - Prob. 25ACh. 46 - Prob. 26ACh. 46 - Prob. 27ACh. 46 - Refer to the Decimal-Inch Spur Gears Table under...Ch. 46 - Prob. 29ACh. 46 - Prob. 30ACh. 46 - Prob. 31ACh. 46 - Prob. 32ACh. 46 - Prob. 33ACh. 46 - Prob. 34ACh. 46 - Prob. 35ACh. 46 - Prob. 36ACh. 46 - Prob. 37ACh. 46 - Prob. 38ACh. 46 - Prob. 39ACh. 46 - Prob. 40ACh. 46 - Prob. 41ACh. 46 - Prob. 42ACh. 46 - Prob. 43ACh. 46 - Prob. 44ACh. 46 - Prob. 45ACh. 46 - Prob. 46ACh. 46 - Prob. 47ACh. 46 - Prob. 48ACh. 46 - Prob. 49ACh. 46 - Prob. 50ACh. 46 - Backlash is the amount that a tooth Space is...Ch. 46 - Prob. 52ACh. 46 - Prob. 53ACh. 46 - Prob. 54ACh. 46 - Prob. 55ACh. 46 - Prob. 56ACh. 46 - Prob. 57ACh. 46 - Prob. 58ACh. 46 - Prob. 59ACh. 46 - Prob. 60ACh. 46 - Prob. 61ACh. 46 - Prob. 62ACh. 46 - Prob. 63ACh. 46 - Prob. 64ACh. 46 - Prob. 65ACh. 46 - Prob. 66ACh. 46 - Prob. 67ACh. 46 - Prob. 68ACh. 46 - Prob. 69ACh. 46 - Prob. 70A
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- Refer to the Decimal-Inch Spur Gears Table under the heading "Gearing-Diametral Pitch System" in Unit 48 to determine the pitch diameter of an 8-pitch gear that has 45 teeth.arrow_forwardIn Figure 208, gear A is turning at 120 revolutions per minute and gear B is turning at 3.6 revolutions per second. Determine the ratio of the speed of gear A to the speed of gear B.arrow_forwardA plug gage tapers 3.10 mm along a 38.00 mm length, as shown in Figure 215. Set up a proportion and determine the amount of taper in the workpiece for each of the following problems. Express the answers to 2 decimal places.arrow_forward
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- Compute the following problems. Express the answers to the nearer whole number. Use C=3.1416DN12 or DN12 for customary units and C=3.1416DN1000 or DN1000 for metric units. What is the surface speed of a 16-inch diameter surface grinder wheel running at1194 rpm?arrow_forwardRead the setting of the metric vernier micrometer scale graduated in Figure 41-1 in 0.001marrow_forwardThe block in Figure 13-7 has a threaded hole with a 0.0625-inch pitch. Determine the number of threads for the given depth to 1 decimal place. All dimensions are in inches.arrow_forward
- A farsighted eye is corrected by placing a converging lens in front of the eye. The lens will create a virtual image that is located at the near point (the closest an object can be and still be in focus) of the viewer when the object is held at a comfortable distance, usually taken to be 25.0 cm. If a person has a near point of 79.5 cm, what power reading glasses should be prescribed to treat this hyperopia? Assume that the distance from the eye to the lens is negligible. power: 0.0275 Incorrect. dioptersarrow_forward18. Assume that the conditions are as in Problem 16 except that there is a force due to air resistance of magnitude v2/1325 directed opposite to the velocity, where the velocity v is measured in m/s. a.Find the maximum height above the ground that the ball reaches. b.Find the time that the ball hits the ground. c. Plot the graphs of velocity and position versus time. Compare these graphs with the corresponding ones in Problems 16 and 17.arrow_forwardShow your work for any calculations needed or simplifications made! Clearly show your work and the steps necessary to solve each problem, including sketching diagrams that represent each situation. 1. At the neighborhood playground, your friend sits on a swing and gets pulled back by you to the highest point that you can reach. When you let go, your friend rides the swing without receiving or providing additional push. Your friend travels along an arc of 14 feet on the first swing (back to front). As the swing comes backwards, the length of the arc is .80 of the previous swing. This continues: each successive arc created by swinging is .80 of the previous swing. A. Find the length of the arc for the 5th swing (the 5th arc). Round to the thousandths place. B. On which swing is the length of the arc first less than 1 foot? C. Find the total distance your friend travels in all of the swings up to and including the swing in answer to letter barrow_forward
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