A disk 7.94 cm in radius rotates at a constant rate of 1 100 rev/min about its central axis. (a) Determine its angular speed. | rad/s (b) Determine the tangential speed at a point 3.04 cm from its center. m/s (c) Determine the radial acceleration of a point on the rim. magnitude ] km/s² direction toward the center (d) Determine the total distance a point on the rim moves in 2.02 s. m

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A: Hey, since there is multiple subpart question posted, we will answer first three questions. If you…

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

Q: c. With the wheel starting from rest, this torque is applied constantly. After three revolutions,…

A: c. The angular acceleration expression ωf2=ωi2+2α∆sωf2=0+2α∆s⇒α=ωf22∆s

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A: Given:radius r =2 cm =0.02 m angular acceleration α=6t4-4t2 rad/s2 initial angular velocity ω=2.0…

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Q: What is the tangential acceleration of a point on the outer rim of the disk at the moment when its…

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Q: -0.01 rad/s2 2.0m oint Pis on the rim of a wheel of radius 2.0 m. At timet= 0, the wheel is at rest,…

A: radius = r = 2 m angular acceleration = α= 0.01 rad/s2 when it reaches the y- axis angular…

Q: A disk-shaped mass, rotating about a central perpendicular axis, has 1.0 m in diameter and an…

A: The equation of motion for the rotational motion is given by  w = wo+ α tθ = wo t +0.5 α t2w2 = wo2…

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Q: he precession angular velocity of a gyroscope is 1.1 rad/s. If the mass of the rotating disk is 0.5…

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Q: A 1.50 kg solid, uniform disk of radius 0.160 m to its maximum height hmax at point C. released from…

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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…

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Q: What is the linear acceleration of a point on the rim of a 11.0-cm-diameter disk rotating at a…

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Q: The angular position of a 0.24-m-diameter flywheel is given by 3,3 = (2 rad/s*)t Find 0, in radians…

A: Angular velocity is the angular displacement per unit time.

Q: A disk 7.98 cm in radius rotates at a constant rate of 1 210 rev/min about its central axis. (a)…

A: (a) Calculate the angular speed. Angular speedω=2π×rotaional Speed (N)60                      ω…

Q: An optical disk drive in your computer can spin a disk up to 10,000 rpm (about 1045 rad/s). If a…

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Q: The angular speed of a rotating platform changes from ω0 = 3.6 rad/s to ω = 6.4 rad/s at a constant…

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Q: 21. A disk 8.00 cm in radius rotates at a constant rate of 1 200 rev/min about its central axis.…

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Q: If a flywheel is initially moving at an angular velocity Wi = 10 rad/s and accelerates to a final…

A: α = (Wf - Wi)/t  α = (400 - 10)/3α = 130rad/s2

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A: θ(t) = 3t2 + 5

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Q: A sphere, when released revolved about an axis, whose distance from the center of gravity of the…

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Q: Point A of the circular disk with a radiusr= 320mm is at the angular position e = 0 at time t = 0.…

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Q: diver runs horizontally off the end of a diving tower 3.5m above the surface of the water with an…

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Q: An auto with 0.300 m radius tires travels 65,000 km before wearing them out. How many revolutions do…

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Q: 1. After accelerating a merry-go-round has an angular acceleration of 0.45 radians per second…

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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.