At a particular instant an object at (r=2m and θ = 0 ) is moving such that its radial speed is 3 m/s and its angular speed is 2 rad/s. What is the magnitude of its speed?

Q: A disk 7.94 cm in radius rotates at a constant rate of 1 100 rev/min about its central axis. (a)…

A: Dear student,                     According to the guidelines I am allowed to answer only first…

Q: bicycle wheel with a radius of 13.0 inches turns with an angular velocity of 3 radians per second.…

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Q: A point on the rim of a disc is of radius of 10 cm from the axis of rotation. Its angular speed is…

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Q: A wheel 203 cmcm in diameter takes 2.30 ss for each revolution.  Find the period of the wheel.…

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Q: A wheel rotating about a fixed axis with a constant angular acceleration of 3 rad/s starts from rest…

A: Angular acceleration α = 3 rads2diameter of the wheel = 20 cm radius of the wheel = 10 cm = 0.1 m t…

Q: A solid 0.6950 kg ball rolls without slipping down a track toward a vertical loop of radius R =…

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Q: What is the linear velocity of a point moving along a circle when the angular velocity is 5.2…

A: Given data: Angular velocity (ω) = 5.2 rad/s Diameter (d) = 12.3 cm Required: Linear velocity (v)

Q: A ball tied to the end of a string travels in a circular path with a radius of 1.35m. If the…

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Q: A disk 8.06 cm in radius rotates at a constant rate of 1 180 rev/min about its central axis. (a)…

A: Given data: The radius of disk is r = 8.06 cm. The velocity of rotation is N=1180 rev/min. Time…

Q: Assume that the Earth is a perfect sphere which rotates around its axis with constant angular…

A: The point P can be shown as below,

Q: wheel 0.70 m in a diameter starts from rest and accelerates uniformly to an angular velocity of 80…

A: Given : d = 0.70 m ωo = 0 (because wheel starts from rest) ω = 80 rad/sec t = 20 seconds

Q: An object is traveling on a circle with a diameter of 10 cm. If in 20 seconds a central angle of 1/3…

A: Diameter = 10 cm  Time ( ∆t ) = 20 second  Change in angular displacement ( ∆w ) = 1/3   Radius = 5…

Q: A particle is moving in a circle of radius 0.40 m. At an instance when the angular speed is 2.0…

A: Given: The radius of the circular path is 0.4 m. The angular speed is 2 rad/s. The angular…

Q: A horizontal platform in the shape of a circular disk rotates in a horizontal plane about a…

A: Given,  M=100kg R=2.0 rad/s m=60kg r= 0.50m Angular speed, ωi=2.0 rad/s

Q: For a particle rotating about a fixed axis with angular velocity that changes, which of the…

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Q: A disk 8.08 cm in radius rotates at a constant rate of 1 250 rev/min about its central axis. (a)…

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Q: The blade of a steel cutter is rotating at a speed of 600 rev/min. If the radius of the blade is 7.5…

A: The given data are: N=600 rev/minr=7.5 cm=0.075 m Here, N and r are the revolutions per minute and…

Q: A bicycle tire of radius 0.45 m has a piece of gum stuck on its rim. What is the angle through which…

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Q: A small object with mass 3.80 kg moves counterclockwise with constant speed 1.70 rad/s in a circle…

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Q: The two objects in the figure are separated by 4 m, each have a mass of 5 kg, and are connected by a…

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Q: The radial rotates with a constant angular velocity of 2 rad/s. Point P moves along the line at a…

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Q: A wheel that is 34.0 cm in diameter rotates through an angle of 13.8 rad as it slows down uniformly…

A: Rotational motion can be defined as the motion of an object around a circular path in a fixed orbit.…

Q: The flagella of a bacterium can rotate very rapidly. If a flagellum rotates at a uniform angular…

A: Angular speed is 1000rad/s (uniform) Angular displacement is 0.5 rev

Q: A wheel 2.00 m in diameter lies in a vertical plane and rotates with a constant angular acceleration…

A: Given : Diameter →d=2.00 m ⇒r=1.00 m Angular acceleration→4.00 rad /s2 Angle →θ=57.30°

Q: A 0.2 m-radius wheel rotates clockwise from rest with constant angular acceleration of 0.2 rad/s2,…

A: Given Radius of the wheel is r=0.2 m Initial angular speed is ω0=0 Angular acceleration isα=0.2…

Q: How long will it take to rotate 360º if an object is moving at a constant angular speed of 250 rpm?…

A: Given that, Angular speed, ω=250 rpm Angular displacement, θ=3600 We need to find the time it will…

Q: A wheel of radius 0.5 m rotates with a constant angular speed about an axis perpendicular to its…

A: Given Data:- Radius of the wheel is R=0.5 m Distance of the point from the center is r=0.2 m…

Q: A compact disc (of radius 0.06m) has an angular speed of 65 radians/second. The linear speed of a…

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Q: A ball rolls on a circular track of radius 0.63 m with a constant angular speed of 1.1 rad/s in the…

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Q: The figure below shows two disks that can rotate about their centers like a merry-go-round. At the…

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Q: A ball of radius 0.200 m rolls with a constant linear speed of 2.47 m/s along a horizontal table.…

A: Assume the radius of the ball is r = 0.200 m. Assume the linear speed of the ball is v = 2.47 m/s.…

Q: A wheel 2.10 m in diameter lies in a vertical plane and rotates about its central axis with a…

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Q: Two people start at the same place and walk around a circular lake in opposite directions. One has…

A: angular speed of person 1(ω1)=1.93×10-3 rad/sec angular speed of person 2(ω2)=5.81×10-3 rad/sec let…

Q: Which one of the following statements correctly relates the radial acceleration component and the…

A: radial acceleration, ar=ω2rω→Angular velocityr→Radius

Q: A propeller with a radius of 1.2 meters is rotating at 1,400 revolutions per minute. What is the…

A: we can find velocity at tip of propeller by simple velocity equation .

Q: A small object with mass 4.45 kg moves counterclockwise with constant speed 1.60 rad/s in a circle…

A: small object with mass 4.45 kg moves counterclockwise with constant speed 1.60 rad/s in a circle of…

Q: A thin rod of mass M and length L is rotating with an angular speed of 12.0 rad/s about an axis…

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Q: 0 out of 15 p A grindstone has a radius of 13.00 cm and rotates at 13000 rev/min. What is the linear…

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Q: 1.. A compact disc rotates from rest up to an angular speed of 31.4 rad/s in a time of 0.892 s.…

A: 1) Initial angular velocity (ω) = 0 radsecFinal angular velocity (ω') = 31.4 radsectime (t) = 0.892…

Q: A small object with mass 3.80 kg moves counterclockwise with constant speed 1.70 rad/s in a circle…

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Q: Calculate the linear speed due to the Earth's rotation for a person at the equator of the Earth. The…

A: Given, Radius of earth R = 6.40 x 106 m   We know the expression for linear velocity is v= wR

Q: A bicycle travels 141 m along a circular track of radius 15 m. What is the angular displacement in…

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Q: A point on the rim of a wheel moves with a velocity of 95 feet per second. Find the angular velocity…

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Q: Two people start at the same place and walk around a circular lake in opposite directions. One has…

A: The total distance covered to meet is 2πradians. Let t be the time they meet. thus, the total…

Q: A truck's wheel (R = 0.72 m) is traveling at an initial angular velocity of 12.66 rad/s and is…

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Q: A disk with a radius of 4.01 meters is rotating with an angular speed of 8.01 rad/s. The angular…

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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.