Problem 3: A person runs outward from the center of a carousel at a constant speed () of 8.4 ft/s, while the carousel turns at a constant rate of 10.2 revolutions per minute. Find the magnitude of the person's acceleration when r = 9.5 ft. (Hint: Make sure to convert the angular velocity to radians per second.) to r

Problem 3: A person runs outward from the center of a carousel at a constant speed () of 8.4 ft/s, while the carousel turns at a constant rate of 10.2 revolutions per minute. Find the magnitude of the person's acceleration when r = 9.5 ft. (Hint: Make sure to convert the angular velocity to radians per second.) to r

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter1: Introduction To Statics

Section: Chapter Questions

Problem 1.19P: Plot the earths gravitational acceleration g(m/s2) against the height h (km) above the surface of...

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4. A car starts from rest and accelerates uniformly to a speed of 72 km/h. over a distance of 500 m. Calculate the acceleration and the time taken to attain the speed. If a further acceleration raises the speed to 90 km/h in 10 seconds, find this acceleration and the further distance moved. The brakes are now applied to bring the car to rest under uniform retardation in 5 seconds. Find the distance travelled during braking.
Figure Q1(b) shows a train travelling along a circular curve of a radius r = 300 m. Atthe instant shown, its angular rate of rotation is 0.03 rad/s which is decreasing at0.0015 rad/s2. Calculate the magnitude of train’s velocity at this instant shown andalso calculate the magnitude and direction of the train’s acceleration at this instant.
A train started moving from rest with a constant acceleration, and at one time it was traveling at a speed of sec/m30 and after a distance of 160m it was traveling at a speed of sec/m50. Find: 1: the wheel. 2: The time it takes to reach its velocity sec/m30.
The y-coordinate of a particle in curvilinear motion is given by y = 2.0t3 - 8.1t, where y is in inches and t is in seconds. Also, the particle has an acceleration in the x-direction given by ax = 2.4t in./sec2. If the velocity of the particle in the x-direction is 5.0 in./sec when t = 0, calculate the magnitudes of the velocity v and acceleration a of the particle when t = 2.4 sec. Construct v and a in your solution.Answers: When t = 2.4 sec,
6(a) The y-coordinate of a particle in curvilinear motion is given by y = 4.5t3 - 5.9t, where y is in inches and t is in seconds. Also, the particle has an acceleration in the x-direction given by ax = 9.6t in./sec2. If the velocity of the particle in the x-direction is 12.9 in./sec when t = 0, calculate the magnitudes of the velocity v and acceleration a of the particle when t = 1.4 sec. Construct v and a in your solution.
Magnetic tape is being transferred from reel A to reel B and passes around idler pulleys Cand D. At a certain instant, point P1, on the tape is in contact with pulley Cand point P2 is in contact with pulley D. If the normal component of acceleration of P, is 32 m/s? and the tangential component of acceleration of P2 is 40 m/s? at this instant, compute the corresponding speed v of the tape, the magnitude of the total acceleration of P1, and the magnitude of the total acceleration of P2. 58 mm 104 mm Answers: y = m/s a1 = m/s? a2 = m/s2
3) Link AB of a robotic arm is rotating at a constant speed of 4 rad/s, while link BC is rotating at 5 rad/s, a speed that is increasing at the rate of 2 rad/s². Find the magnitudes of the velocity and acceleration of point C when AB is vertical and BC is horizontal, as shown here. 2.0 ft 1.5 ft B WAB A WBC = 5 rad/s αBC = 2 rad/s² = 4 rad/s C
3. A car is moving at 36 m/s when it suddenly comes to a stop in just a space of 2.2m. Calculate the acceleration.
Magnetic tape is being transferred from reel A to reel B and passes around idler pulleys C and D. At a certain instant, point P1, on the tape is in contact with pulley Cand point P2 is in contact with pulley D. If the normal component of acceleration of P is 32 m/s2 and the tangential component of acceleration of P2 is 25 m/s2 at this instant, compute the corresponding speed v of the tape, the magnitude of the total acceleration of P1, and the magnitude of the total acceleration of P2. P 46 mm 116 mm B Answers: V = i m/s m/s2 a1 = az = m/s2
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