In the spin cycle of a washing machine, the tub of radius 0.499m develops a speed of 659 revolutions per minute (659 rpm). What is the maximum linear speed with which water leaves the machine?

Q: Rotational Kinematics (use rotational kinematic equations) 2. A centrifuge turning at 20000 rpm is…

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Q: 1. Examine the situation to determine that rotational kinematics (rotational motion) is involved.…

A: Since you have uploaded a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Determine the angular velocity of links AB and BC at the instant 0 = 30°. Also, sketch the position…

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Q: The object starting from rest moves on a circular path of radius 5.0m and reaches an angular…

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Q: Explain why automobile overturns when going too fast around a curve. Which wheel leaves the ground…

A: We are authorized to answer one Question at a time, since you have not mentioned which question you…

Q: The Ferris wheel, the Ferris wheel has a diameter of 150 meters and takes approximately 30 minutes…

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Q: = 2 rad/s a = 6 rad/s², 0.3 m 0.5 m C B 0.4 m

A: Motion of the Fly Wheel and Link BC is pure Rotational motion.   The angular acceleration of link AB…

Q: At its peak, a tornado is 54.0 m in diameter and carries 320 km/h winds. What is its angular…

A: An object that moves at some speed in circular motion has some angular velocity associated with it.…

Q: A yo-yo with an inner radius of R, and outer radius of R2 is being pulled along the ground at an…

A: FBD of yo-yo N+T sin θ =mg N=mg-T sin θ  f=μN f=μ(mg-T sin θ )

Q: During the spin cycle of your clothes washer, the tub rotates at a steady angular velocity of 36.1…

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Q: Derive the equations of motion for the following mechani.cal sys (Combination of translational pind…

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Q: The particle of mass m-1.8 kg is attached to the light rigid rod of length L-0.66 m, and the…

A: The motion is uniform circular motion. The radial acceleration (r component) is given by ar=rω2 The…

Q: Helicopters rotor blades , could spin at high speed of 430 rpm. Find the angular displacement in…

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Q: A student holds a bike wheel and starts it spinning with an initial angular speed of 9.0 rotations…

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Q: 000 0.15 m B A motor subjects a disk to a constant angular acceleration of 1.0 rad/s² clockwise. If…

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Q: Q: A grinding wheel 0.15 m in diameter rotates at 3750 rpm. What is the linear speed of a point on…

A: r= 0.15 m angular velocity= w w= 3750 rpm w=3750revolutionsminute w=37502π rad60 s w=125π rad/s

Q: 9) A wheel rolls without slipping inside a tube of radius R. The wheel has a radius of 0.25 m. If…

A: Given: The radius of the inside wheel is r=0.25 m. The radius of  the tube is  R. The angular…

Q: A 24-inch diameter tire rotates 8.2 revolutions per second a. determine the angular speed of the…

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Q: wheel of radius R = 1.0 m rolls without slipping along a road and makes 10 complete revolutions, how…

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Q: Q) In rpm, what is the difference in angular speed of someone 10 cm from the center and someone 1 m…

A: Angular speed represents how fast the angle changes per seconds.

Q: A rotating wheel requires 3.07-s to rotate through 37.0 revolutions. Its angular speed at the end of…

A: Given- Time (t) = 3.07 s Revolutions (θ) = 37 rev, Angular speed (ω) = 98.6 rad/s

Q: Rotational Kinematics (use rotational kinematic equations) 2. A centrifuge turning at 20000 rpm is…

A:

Q: A potter's wheel of radius 14cm starts from rest and rotates with a constant angular acceleration…

A: Given data:  Radius (r) = 14 cm = 0.14 m Initial angular velocity (ωi) = 0 rad/s Time (t) = 25 s…

Q: The center of a Ferris wheel is 100 feet off the ground and its radius is 85 feet. T A. How high is…

A: Given Radius of wheel= 85 feet  Distance from center to ground = 100 feet

Q: The propeller of a World War II fighter plane is 2.30 m in diameter. (a) What is its angular…

A: Given data, diameter of the propeller, d =2.3 m so, radius of the propeller, r =d/2 = 2.3/2 = 1.15 m…

Q: Peter propels a penguin with mass 10.0kg from 2.50m above the ground at an angle 30.0o from the…

A: Given:-  The Peter propels a penguin with mass m = 10.0kg The height of the penguin is h = 2.5 m…

Q: A drum of radius r, = 5 in. is mounted on a cylinder of radius r2 = 6 in. A cord is wound around the…

A: Given:- r1 = 5 in r2 = 6 in v= 5 in/sec

Q: 6. A car slows from 20.0 m/s to rest in 4.0 seconds. While traveling at 20.0 m/s, its wheels spin at…

A: Given data:  Initial angular velocity (ωi) = 40.0 rad/s Final angular velocity (ωf) = 0 rad/s Time…

Q: How can I prove that angular velocity equals that equation?

A: Consider 2 masses Mh and MT connected through a cord of negligible mass undergoing uniform circular…

Q: 3. A fan spins at an angular velocity of 30.0 radians per second. Through what angle will the fan…

A: Given: A fan spins with angular velocity " ω" = 30 radians/sec We have to calculate angle of…

Q: An electric motor rotating a wheel at 36 rad/s (radians per second) is turned off. If the wheel…

A: Given that:-Initial angular velocity, ωi=36 rad/sectime, t=12 secFinal angular velocity, ωf=0 (at…

Q: 4. The drivetrain of a bicycle is shown. The wheels have a diameter of 67.3cm and the pedal cranks…

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Q: 3. Block C has a constant downward velocity of 30 in/s. Determine the angular velocity of crank AB…

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Q: 3. The tire of a car has a radius of 0.26m. As the car travels down the street, the wheel spins with…

A: Given data:  Radius (r) = 0.26 m Angular velocity (ω) = 80 rad/s Required: The frequency (f) and…

Q: A wheel has a radius of 8 m. How far (path length) does a point on the circumference travel if the…

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Q: C. Radius of the wheel: 4 d. Angular speed of the wheel: 30 e. Direction of motion, clockwise or…

A: Given  H(t) = 45 sin(30t) +60  Where

Q: 2. If the chain moves at 1.0m/s and the radius of the rear gear is 8.0cm, what is the angular speed…

A: Given data-      linear speed of chain (v) = 1 m/s     radius of gear (r) = 8 cm  or  0.08 m Concept…

Q: 180 1-Convert the following degrees to radians. Report 3 sig figs. 15°, 45°, 90°, 120° 2-Convert the…

A: 150=15×π180=π12 rad450=45×π180=π4 rad900=90×π180=π2 rad1200=120×π180=2π3 rad

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.