A rotating wheel is supported on a turntable as shown. The wheel has an angular velocity of 54.0 rad/s about its axle, while the turntable has angular velocity 45.0 rad/s about a vertical axis. What is the magnitude of the resultant angular velocity of the wheel, as seen by an outside observer, at the instant shown? Use 'rad/s' for your units.

Q: A point on the rim of a wheel moves with speed of 200 feet per second. Find the angular velocity of…

A: Given data:  Linear speed (v) = 200 feet/sec Diameter (d) = 8 feet Required: The angular velocity…

Q: A large fish strikes bait cast by a fisherman with a rod and reel. The fish creates tension in the…

A: Torque can be defined as the cross product of the radial vector from the axis of rotation and the…

Q: The spinning top precesses at 1 revolution per second. The top has a mass of 400 grams and the…

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Q: The wheel in the figure below has eight equally spaced spokes and a radius of 30 cm.  The wheel is…

A: A circular wheel has a total of 360 degrees which is 2π radians. no of spokes in the wheel=8 two…

Q: A bicycle tire is spinning clockwise at 2.00 rad/s. During a time period Δt = 1.70 s, the tire is…

A: Given: A bicycle tire is spinning clockwise initially at ωi=-2.00 rad/s (negative sign for spinning…

Q: Enter the components of the velocity in feet per second VAZ, VAy, VA: = 195| ΑΣΦ. 11 | vec

A: Given:- w1=0.19 rad/sec w2=0.64 rad/sec To find:- vax,vay,va aAx,aAy,aAz

Q: In the figure here, a cylinder having a mass of 2.8 kg can rotate about its central axis through…

A: Given Information:- Mass of the cylinder m=2.8 kg Forces are  F1=9.7 N, F2=8.3 N, F3=1.8 N , F4=4.5…

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 potter's wheel is a horizontal disk with a moment of inertia of 0.7 kg m2 rotates with a constant…

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Q: As the earth rotates on its axis, what is its angular velocity in a day in radians?

A: Let the velocity of the earth be V Angular velocity of earth be ω Radius of the earth be R= 6400000…

Q: bugs, Buzz and Crunchy, are siting on a spinning disk. The disk of radius 7.5 m spins with an…

A: Angular velocity ω = 90 degrees/ sec = π/2 rad/s  = 1.57 rad/s

Q: Compute the fan's angular velocity magnitude after time 0.207 s has passed (express as rev/s)

A: Complete explanation and final answers is in next step.

Q: The flywheel of a steam engine runs with a constant angular speed of 112 rev/ min . When steam is…

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Q: The rotor of an electric motor has rotational inertia Im about its central axis. The motor is used…

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Q: The angular position of a point on a rotating wheel is given by 0 = 1.03 +4.52t² + 4.61t³, where is…

A: θ =1.03+4.52t2+4.61t3 t=0  θ = 1.03+4.52(0)2+4.61(0)3         θ = 1.03rad w =dθ/dt     =…

Q: A wheel starts from rest and rotates with constant angular acceleration to an angular speed of 12. 0…

A: Given data:  Initial angular velocity (ωi) = 0 rad/s Final angular velocity (ωf) = 12.0 rad/s Time…

Q: A playground merry-go-round with a mass of 145 kg and a radius of 1.9 m is rotating with a frequency…

A: mass of merry go round = 145 kg radius = 1.9 m angular velocity = 0.56 rev/sec mass of child = 24 kg…

Q: A solid ball of radius R = 14.0 cm is initially rotating clockwise at 15.0 rev/s and not…

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Q: A sweet potato pie in a 8.00 in diameter plate is placed upon a rotating tray. Then, the tray is…

A: Distance travelled in 1 revolution is given byd=2πr=2π×8.00in=50.27 innow angular distance=258…

Q: Two pulleys, one with radius 8 inches and one with radius 4 inches are connected by a belt, so that…

A: The radius of the first pulley r1=8 inches The radius of the second pulley r2=4 inches The angular…

Q: final angular velocity

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Q: A man is sitting on a flat disc that is rotating. The disc mass is 200 kg, with a radius of 3…

A: mass of disc (M) = 200 kg radius of disc (r) = 3 m mass of man (m) = 75 kg distance of man from…

Q: In the figure here, a cylinder having a mass of 2.0 kg can rotate about its central axis through…

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Q: 2. A see-saw consists of a uniform beam of length L and mass M pivoted in the center. Two children…

A: Moment of inertia = mr2  Moment of inertia of uniform rod about center of mass = (1/12) ML2

Q: How many revolutions does it take for the discus thrower's angular speed to reach 5.8 rad/s? Express…

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Q: (c) What are the tangential speeds of the beads (in m/s) at t = 3 s? vt, 1 =16.146 m/s, ANSWERED…

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Q: upvote! A vertical wheel with a diameter of 50 cm starts from rest and rotates with a constant…

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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.