ball is attached to a string and rotates in a circle. If it takes 1.00s to complete one revolution, what is the average angular velocity of the ball?

Q: A hamster running in a wheel of radius 15 cm spins the wheel at 16 revolutions per minute. Round…

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Q: A bicycle tire is spinning counterclockwise at 3.20 rad/s. During a time period Δt = 2.50 s, the…

A: Given data, Initial angular velocity ωi=3.2 rad/s (c.cw) Final angular velocity ωf=-3.2 rad/s (cw)…

Q: A child sits on a merry‑go‑round that has a diameter of .5.00 m. The child uses her legs to push the…

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Q: A ball is attached to a string and rotates in a circle. If it takes 1.00 s to complete one…

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Q: Starting from rest, a wheel with a radius of 0.6 m begins to roll across the ground in a straight…

A: Radius of Wheel R = 0.6 m  Angular acceleration α = 4.49 rad/s2 Number of revolutions = 15  Initial…

Q: Please help me. A child pushes a merry-go-round from rest to a final angular speed of 0.750 rev/s…

A: Given: The initial angular velocity of the merry-go-round is 0 rad/s. The final angular velocity of…

Q: A child sits on a merry‑go‑round that has a diameter of 4.00 m. The child uses her legs to push the…

A: Given: Diameter (d) = 4 m               Angular speed (wf) = 16 rpm                 time (t) = 42…

Q: An object is swung in a horizontal circle, starting at position zero (0 rad) and ends at 3.5 rad. If…

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Q: A child sits on a merry‑go‑round that has a diameter of 5.00 m. The child uses her legs to push the…

A: Initial angular speed (ω0)=0rad/sAngular speed after 45s(ω)=17rpm=17×2π60s=1.78rad/s∴ Average…

Q: The earth spins on its axis once a day and orbits the sun once a year (365 1/4 days). Determine the…

A: Given,  The earth spin on its axis once a day and orbits the sun once a year. We need to find,…

Q: A person pushes a merry-go-round from rest to a final angular speed of 0.540 rev/s with constant…

A: According to the given data ωf=0.540rev/s θ=2rev ωi=0    {  Initially at at } We need to find…

Q: What is the magnitude of the angular acceleration of a car following a curve of radius 500 m at a…

A: SOlution: Given that car moving in the curve r =500 m v = 25 m/s

Q: A drill starts from rest. After 4 s of constant angular acceleration, it turns at a rate of 2.5x104…

A: initial angular velocity,wi=0 rad/sFinal rotational speed,Nf=2.5×104 rev/minFinal angular velocity…

Q: diameter

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Q: A circular disc is initially rotating at 7.7 rad/s and has a constant angular acceleration. After…

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Q: The earth's radius is 6.37×10^6m; it rotates once every 24 hours. What is the earth's angular speed?

A: Angular speed of a rotating object is given by ω = 2πT, where T = the time period or time taken for…

Q: An automatic dryer spins wet clothes at an angular speed of 5.6 rad/s. Starting from rest, the dryer…

A: Angular speed "wf"= 5.6rad/s . average angular acceleration"a"= 3.5 rad/s².

Q: A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.05 × 10ʻ…

A: Given data Initial angular speed is: ωo = 0 rad/s Intermediate angular speed is: ω1 = 1.05 x 104…

Q: What is the angular acceleration when the angle is pi/4 radians?

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Q: object that is initially at rest begins to rotate with a constant angular acceleration of 2.65…

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Q: Starting from rest, a wheel with a radius of 0.58 m begins to roll across the ground in a straight…

A: We shall use the rotational kinematic equation to solve this problem ωf2=ωi2+2αθwhereωf is the final…

Q: A boy is riding a rotating merry-go-round and is standing r=4.8 m from its center. At this instant,…

A: The objective of the question is to find the net acceleration of the boy who is riding a rotating…

Q: A rotating wheel requires 4.00s to rotate through 32.0 revolutions. Its angular speed at the end of…

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Q: Starting from rest, a wheel with a radius of 0.52 m begins to roll across the ground in a straight…

A: radius (r) = 0.52 m angular acceleration (α) = 3.95 rads2number of revolutions = 15initial angular…

Q: A merry-go-round rotates from rest with an angular acceleration of 1.11 rad/s². How long does it…

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Q: The blades of a windmill are 15m in length and rotate at 4 revolutions per minute. Determine the…

A: Length of blades is r = 15 m Angular speed is  w = 4 rev/ min 1 rev/min = 2 x 3.14 / 60 rad/sec 1…

Q: A disk, 12 cm in radius, initially at rest begins to rotate for 1.05 minutes about its axis with…

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Q: A DVD is rotating counterclockwise at constant angular acceleration. If it comes to a stop after…

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Q: A cart on a circular track (radius 25 ft) begins at rest and accelerates with an acceleration of…

A: Given values: Radius, R=25 ftAcceleration,a=0.785 ft/s2Time,t=10 s

Q: A ceiling fan is rotating counterclockwise with a constant angular acceleration of 0.40? rad/s2…

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Q: 18 N 0.3 m 12 N 1.0 m 0.5 m 16 N A 367 kg solid disk (with uniform density) is shown. Its rotation…

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Q: A merry-go-round rotates from rest with an angular acceleration of 1.95 rad/s². How long does it…

A: See below

Q: Chinook, a military helicopter, has two three-blade rotor systems, each turning in opposite…

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Q: An object rotates through 8.4 radians in 2.6 seconds as it accelerates uniformly from rest. What is…

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Q: The angular position as a function of time of a rotating cylinder is giving by: 0(t) =…

A: The angular position of a rotating cylinder is given by θt=2.5t2-0.6t3

Q: A CD has a diameter of 12.0 cm. If the CD starts from rest and has a constant angular acceleration…

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Q: (a) If its initial angular velocity was +6.58 rad/s and it rotated an angular displacement of +13.6…

A: Given, Initial angular velocity,ω0=6.58 radsec Angular displacement, θ=13.6×2π=85.45 rad Since the…

Q: A circular plate is in the vertical position rotatable about a horizontal axis located on the edge…

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Q: A circle table rotates with a constant angular acceleration. After 4.00 s it has rotated through an…

A: Given data, Angular acceleration α=2.25 rad/s2 Time t=4 s Angular displacement θ=60 rad

Q: The wheels of a sport car go from rest to 3000 rpm in 3 second. Its angular acceleration a is…

A: Given data:  Initial angular velocity (ω0) = 0 rad/s Final angular velocity (ω)= 3000 rpm Time (t) =…

Q: A 12 cm disk in radius is originally rotating at wo = 17 rad/s. If it is subjected to a constant…

A: Angular velocity = W0 = 17 rad/s angular acceleration = α= 7 rad/s2 number of revolutions = n = 3…

Q: A platform is rotating with an angular speed of 3.00 rad/s and an angular acceleration of 11.0…

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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…

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.