PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 20, Problem 20P
To determine
The angular velocity of gear
The angular acceleration of gear
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4. If the motor turns gear A with an angular acceleration of a = 2 rad/s when the angular
velocity is wa = 25 rad/s, determine the angular acceleration and angular velocity of gear D.
Note that Gear Band Gear C are attached, so rotate with the same w and a.
B
-100 mm
C
50 mm
D
WA
40 mm
100 mm
Gears A and B are fixed, while gears C and D are free to rotate about the shaft S. If the shaft turns about the
z axis at a constant rate of w = 5 rad/s, determine the angular acceleration of gear C.
80 mm-
40 mm
80 mm
Fl60 mmg
Select one:
O a. a = 40i rad/s?
O b. a = 67i rad/s?
O c. a = 32i rad/s?
%3!
O d. a = 76i rad/s²
%3D
A cyclist pedals constantly at 7.9587 rad/s the wheels are 336.5mm in radius. If the chain is directly connected with the sprockets which are 76 mm in radius (front sprocket) and 35mm in radius (rear sprockets), Determine the angular speed of the wheel in rad/s.
Chapter 20 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 20 - The propeller of an airplane is rotating at a...Ch. 20 - The disk rotates about the z axis at a constant...Ch. 20 - The ladder of the fire truck rotates around the z...Ch. 20 - The ladder of the fire truck rotates around the z...Ch. 20 - At a given instant, the antenna has an angular...Ch. 20 - The disk rotates about the shaft S, while the...Ch. 20 - The electric fan is mounted on a swivel support...Ch. 20 - The electric fan is mounted on a swivel support...Ch. 20 - The truncated double cone rotates about the z axis...Ch. 20 - Prob. 20P
Ch. 20 - Gear B is driven by a motor mounted on turntable...Ch. 20 - Prob. 22PCh. 20 - Prob. 23PCh. 20 - Prob. 26PCh. 20 - Prob. 27PCh. 20 - Prob. 30PCh. 20 - So1ve Example 20.5 such that the x, y, z axes move...Ch. 20 - Prob. 38PCh. 20 - At the instant = 60, the telescopic boom AB of...Ch. 20 - Prob. 40PCh. 20 - Prob. 42PCh. 20 - Prob. 43PCh. 20 - Prob. 44PCh. 20 - Prob. 46PCh. 20 - Prob. 47PCh. 20 - Prob. 48PCh. 20 - Prob. 49PCh. 20 - Prob. 50PCh. 20 - Prob. 51P
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- There are two adjacent gears A and B, with 23 and 42 teeth respectively. Initially, both gears are only rotating, with A rotating clockwise with angular velocity 1 rad/s, and B rotating counterclockwise. When making complex decisions, gear A's angular speed increases while gear B maintains its angular speed. As a result, gear A rolls without slipping around the circumference of gear B. If it takes 1 second for gear A to complete 1 revolution around gear B, then what's the new angular velocity of gear A? Answer in rad/s and 3 Significant Figures. Make sure to use the proper sign convention (CW : - :: CCW : +).arrow_forward(Three-Dimensional Motion) The figure below represents a pair of bevel gears A and B. Gear A rotates in ahorizontal plane about a vertical axis at O. Gear B rotates around the shaft OC which in turn rotates about the terminal axis at O. determine the angular accelera tion of gear B when gear A is stationary and member OC has an angular velocity of 10j rad/sec and and angular acceleration of 25j rad/sec2 .arrow_forwardThe link AB is hinged at A on the gear and at B on the collar moving along the horizontal bar. Note that the rack (toothed rod) is fixed on the ground. At the instant shown, the gear has an angular velocity of 6 rad/sec and an angular acceleration of 12 rad/sec² in the counter-clockwise direction. Determine the magnitude of the angular acceleration of the link AB. Present your answer in rad/sec² using 3 significant figures. @ = 6 rad/s a = 12 rad/s² 3 in. 2 in. 60° B 8 in. Aarrow_forward
- 12. The gear A on the drive shaft of the outboard motor has a radius r = 0.5 in. and the meshed pinion gear B on the propeller shaft has a radius r = 1.2 in. . (a) Determine the angular velocity of the propeller in t = 1.5 s, if the drive shaft rotates with an angular acceleration ,a = (400t³) rad/s², where t is in seconds. The propeller is originally at rest and the motor frame does not move. (b) Determine the magnitude of the velocity and acceleration of point P located on the tip of the propeller at the instant. t = 0.75 s 2.20 in.arrow_forwardIf bar CD has an angular velocity of 5 rad/s and an angular acceleration of 3 rad/s2, determine the angular velocity by IC and the angular acceleration of gear D by the relative method.arrow_forwardA motor gives gear A an angular acceleration of a1 = (0.250' + 0.5) rad/s², where 0 is in radjans. If this gear is initially turning at (wa)o = 20 rad/s, determine the angular velocity of gear B after A undergoes an angular đisplacement of 10 rev. %3D (wab = 20 rad/sS 0.05 m 0.15 m The angular velocity of gear B isarrow_forward
- Arm AB has a clockwise angular velocity ωAB while the ring gear R has a counterclockwise angular velocity ωR. Using the Instantaneous Center (IC) Method, determine (a) the angular velocity (in rad/s) of gear B and (b) the velocity (in cm/s) of gear tooth D at the instant shown. Also, (c) illustrate the location of each rigid body’s instantaneous center. Utilize the following given:s = 13.5 cmrB = 6 cmωAB = 0.55 rad/sωR = 0.16 rad/sarrow_forward4. For the motion of block B in the system below use the following values: VB = 4 m/s; ag = 2 m/s². Determine (a) the type of motion of wheel AC, rod AB, and slider block B. Then, determine (b) the angular velocity and (c) the angular acceleration of the wheel at this instant. 150 mm VB ав 400 mm Barrow_forwardIf gear A rotates with a constant angular acceleration of aA = 88 rad/s2, starting from rest, determine the number of revolutions required by gear D to reach an angular velocity of 550 rpm. The radii of the gears are: The radii of the gears are: F B A = 30 mm TB = 65 mm rc = 25 mm = 60 mm "D=arrow_forward
- Please answer this NEATLY, COMPLETELY, and CORRECTLY for an UPVOTE. For the given gear system, Gear L weighs 10 Ib. and has a centroid radius of gyration of r = 6 inches. The uniform bar JK weighs 5 lb. If ring Gear M has an angular acceleration of aM = 10.70 rad/s2, counter-clockwise, determine the angular acceleration of gear L and the acceleration of Point K.arrow_forwardFor a short time, gear A of the automobile starter rotates with an angular acceleration of A=4502-60 rad/s², where t is in seconds. Determine the angular velocity of gear 8 when t= 4s, starting from rest. The radii of gears A and B are r = 10 mm and rg = 25 mm, respectively. Select one: A w = 432 rad/s B. WB 1548 rad/s C. wp-3744 rad/s Dwp-528 rad/s B Finish attempt...arrow_forward(B) Determine the angular velocity of the link DC. The input link AB rotates at 60 rev/min in a clockwise direction. C 300 mm 600 mm B 300 400 mm 450 A DEarrow_forward
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