A centrifuge in a medical research laboratory rotates at an angular speed of 3,750 rev/min. When switched off, it rotates 54.0 times before coming to rest. Find the constant angular acceleration of the centrifuge (in rad/s), Consider the direction of the initial angular velocity to be the positive direction, and include the appropriate sign in your result. rad/s?

A centrifuge in a medical research laboratory rotates at an angular speed of 3,750 rev/min. When switched off, it rotates 54.0 times before coming to rest. Find the constant angular acceleration of the centrifuge (in rad/s), Consider the direction of the initial angular velocity to be the positive direction, and include the appropriate sign in your result. rad/s?

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...

See similar textbooks

Similar questions

A particular bicycle has wheels that are 66 cm in diameter. The radius of the crank armis 18 cm. At its lowest point, the pedal is 16 cm above the ground. A person is pedalingthe bicycle such that the crank arm rotates once every second.Questions:1. Write an equation that models the vertical position of the foot with respect to theground, starting from the lowest point, as the crank arm turns.2. What is the rate of change of the vertical position of the foot when it is at themidline? Explain your answer3. How fast, in kilometres per hour, is the bicycle moving?4. Determine an equation that would model the foot’s position when the cyclist istraveling 5 km/h. Compare this equation to your equation from question 1 andexplain any differences.5. Use calculus to explain why the rotation velocity of a point on the perimeter of awheel is the same as the velocity of the pedal. Use examples to support youranswer.
The diagram shows a velocity-time graph for a car moving in a straight line. At point P thecar must be ____ and at point Q it must be ______ CHoices: slowing down, slowing down at the right of the origin, at the left of the origin speeding up, slowing down slowing down, speeding up speeding up, speeding up Explain why
Please include explanation. A 6-MW offshore wind turbine has a capacity factor of 40%. It has a height of 120 m, and 107-m long blades. The angular acceleration is 1.388 rad/s2. Assume that the distance from the center of the turbine to the connection with the blade is negligible, and that the turbine starts from rest. At ? = 12 s, calculate the velocity and the acceleration for points (a) at half the length and (b) at the tip of the blade.
Hi please help me answer this with drawing, thank you. Plot a displacement diagram for a body that is to rise and fall as follows; rise 1 in. in 4 seconds with uniform acceleration, rise 1 in. in 4 sec. with uniform retardation, rest 6 seconds, fall 1 ¼ in. in 6 sec with harmonic motion, rise ½ in. in 3 sec with uniform velocity, fall 1 ¼ in. at once, and rest 4 sec.. Plot displacement as ordinates full size and the time as abscissas to a scale of 1 in. = 4 sec.
The 100 meter diameter wheel needs to be designed so that it rotates at a constant rate and every complete revolution takes 15 minutes. The wheel has been installed in a vertical plane and the lowest seat is 2m above the ground surface. Each ride consists of only one full rotation. Find a further general expression for the horizontal displacement of the rider from its initial position with respect to both time and angle of rotation and hence determine the speed of the rider when t= 180 sec. Using calculus, determine what the maximum horizontal and vertical speeds of the rider would be and at which points during the ride they occur. State expressions for the acceleration of the rider in both horizontal and vertical directions and show that the resultant acceleration experienced by the rider is independent of where on the ride he/she might be. In designing a new wheel with the same diameter and same ride duration as before it is proposed that the wheel’s angular speed should not…
if the relation is : x=-153 + 10t + 4 1- the displacement between t1=2 ,t2=3 2- the magnitude of average velocity between t1=2,t4=4 3- the magnitude of average acceleration between t1=1,t4=5 4- the instantaneous velocity at t=2 5- the instantaneous acceleration at t=2
Find the Following: 1.Keq 2. Ceq 3. Natural angular velocity
A circular saw blade 0.6 m in diameter starts from rest and accelerates with constant acceleration to an angular velocity of 100 rad.s-1 in 20 s. Find the angle in degrees through which the blade has turned in the 20-s interval
Applying principles of dynamics (with step by steep solutions pls i give 5 stars) The displacement of a particle which moves along the x axis is given by x = (-4 + 3t2)e-0.25t, consider x to be in feet and t in seconds. Plot the displacement, velocity and acceleration for the first 20 seconds of motion and determine, both graphically and by your established equation for acceleration,the time at which acceleration is 0. (If the students find it more comfortable, they may choose to graph using excel or any graphing software, solutions however must be done manually)
The plate of a record player with a moment of inertia of 0:015 kg m2 rotates freely at 33 rpm. If you slowly drop a 180-gram vinyl disc with a 30:48 cm diameter on the board, what will be the new angular speed? (N.B. In real life, the turntable motor forces the speed to always remain 33 rpm. In this problem, we act as if the engine did not exist. )
The propeller on Don Karnage's airplane can be modeled as three identical thin rods of uniform density extending radially from the rotational axis of the propeller. To take off, the propeller must accelerate from rest to 633 rpm in 4 s. If the length and mass of each rod are 0.872 m and 3.11 kg, what must be the magnitude of torque in N*m) necessary to accelerate the propeller? Explain how you solved the problem involving something undergoing angular acceleration Be sure to state what your known and unknown quantities are, what concepts were applied, and what equations were used!
Using the image on the Moment of Inertia Tab, where the following criteria are considered:Assign the values to “Apply torque” = 2 Nm, “Brake force” fr = 0.2 N. “Platform Mass” m= 0.25 kg.Use"radians" for angle units. Write down the values that appear in the graphs of torque, a moment of inertia, and angular acceleration. Then, obtain the other physical quantities by applying the equations of rotational dynamics that correspond to:Time:4.5Applied torque:2 N-mBrake torque:Net torque:Angular impulse:Moment of inertia:Angular acceleration:Initial angular velocity:Final angular velocity: