A wheel of a radius 5.02 m rotates at a uniform speed. If a point on the rim of the wheel has a centripetal acceleration of 4.00 m/s2, what is the point’s tangential speed?

Q: The formula v = 0.03 t can be used to calculate the tangential acceleration of an automobile moving…

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Q: An astronaut is inside a centrifuge that has a radius of 10 m. The astronaut is experiencing 10g,…

A: Given,  Radius, r=10 m Centripetal acceleration, ac=98 m/s2 Angular velocity,…

Q: A centrifuge in a medical laboratory rotates at an angular speed of 3,800 rev/min. When switched…

A: The initial angular speed of the centrifuge is ω0 = 3,800 rev/min. The angular displacement of the…

Q: A point on the rim of a 0.79 m radius rotating wheel has a centripetal acceleration of 9.2 m/s².…

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Q: A disc is in rotation. A point on the disc is at radius 8 m. Given that the radial acceleration is…

A: Here, we use the formula for radial acceleration to get the required values.

Q: A wind turbine is rotating counterclockwise at 0.83 rev/s and slows to a stop in 21 s. Its blades…

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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 race car travels with a constant tangential speed of 81.3 m/s around a circular track of radius…

A: Given- Tangential speed of a car (vt) = 83.1 m/s Radius of track (r) = 686 m.

Q: A point moves on a path of 3m in diameter so that the distance traversed is s= 3t^2. What is the…

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Q: A point on the rim of a 0.63 m radius rotating wheel has a centripetal acceleration of 6.4 m/s².…

A: Step 1:   Step 2: Step 3: Step 4:

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: An 8.0 m radius merry-go-round completes one revolution every 7.0 s. (a) What is the angular…

A: Given data:  Radius (r) = 8.0 m Time period (T) = 7.0 s Required: The angular velocity, linear…

Q: A lab centrifuge spins at 1470 rad/s (14,000 rpm).  Suppose it has radius 8.20 cm. What is the…

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Q: A race car travels with a constant tangential speed of 73.7 m/s around a circular track of radius…

A: Given that Constant tangential speed V = 73.7 m/s Radius of circular track R = 646 m

Q: an Athlete swings a 5.1 kg ball horizontally on the end of a rope. The ball moves in a circle of…

A: Here ,omega = 0.7rev/s R=1.2m Speed ,V=omega×R V=omegaRsin90°;

Q: In a large centrifuge used for training pilots and astronauts, a small chamber is fixed at the end…

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Q: An object is swung in a horizontal circle, starting at position zero (0 rad) and ends at 8 rad. If…

A:

Q: A centrifuge in a medical laboratory rotates at an angular speed of 3,500 rev/min. When switched…

A: The initial angular velocity can be expressed as ω0=3500 rev/min2π rad1 rev1 min60 s=376.8rad/s

Q: A child rides a scooter in a circular path with a radius of 3.0 m. The tangential speed of the…

A: radius (R) = 3 m v= 3 msmass of child and scooter(m) = 45 kg

Q: A bug on the rim of a 10-in.-diameter disk if the disk moves from rest to an angular speed of 78…

A: The bug is moving with the disk. Initially the bug is at rest. We are given the final angular…

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 is riding at a tangential speed of 13.2 m/s around a circular track. The magnitude of the…

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Q: An object is swung in a horizontal circle with a radius of 0.75 m. If the object makes one full…

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Q: Disk 1 has a radius r and rotates with an angular velocity v. A point on the rim ofdisk 1 has a…

A: Let the radius of Disk 1 and 2 be r1 and r2 respectively, tangential speed of disk 1 and 2 be V'1…

Q: Human centrifuges are used to train military pilots and astronauts in preparation for high-g…

A: Given Data: A trained, fit person wearing a g-suit can withstand accelerations up to about 88.2 m/s2…

Q: A person is riding a bike around a corner (radius = 3 m) with a angular acceleration of 42…

A:

Q: computer is reading data from a rotating CD-ROM. At a point that is 0.0314m from the center of the…

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Q: A point on the rim of a 0.79 m radius rotating wheel has a centripetal acceleration of 9.1 m/s?.…

A: given  radius(R)=0.79 m centripetal acceleration (ac)=9.1 m/s2 point at distance (r)=0.17 m required…

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

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Q: A centrifuge in a medical laboratory rotates at an angular speed of 3,400 rev/min. When switched…

A: we use the basic equation of kinematics

Q: A “blink of an eye” is a time interval of about 150 ms for an average adult. The “closure” portion…

A:

Q: A 100 kg vehicle enters a flat circular turn of radius 5 m. It is initially traveling at 5 m/s…

A: Given data: The mass of vehicle is m=100 kg. The radius of circle is r=5 m. The initial speed is…

Q: A floppy disk rotates with a constant angular speed of 60.6 rad/s. Find the tangential speed at a…

A: See below

Q: A discus thrower spins the discus in a circle of radius 80.0 cm. At a certain instant, the launcher…

A:

Q: A person is riding a bike around a corner (radius = 3 m) with a angular acceleration of 42…

A: Given : Radius of the track = 3 m Angular acceleration of bike, α = 42 degrees/s2 = 0.733038…

Q: A centrifuge in a medical laboratory rotates at an angular speed of 3,750 rev/min. When switched…

A:

Q: uman centrifuges are used to train military pilots and astronauts in preparation for high-g…

A:

Q: A point on the rim of a rotating flywheels changes its speed from 1.5 m/sec. to 9.0 m/sec. while it…

A: Given value--- Initial speed = 1.5 m/s. Final speed = 9 m/s. instant speed = 6 m/s. distance = 60…

Q: You are driving on a horizontal circular road of radius 50.0 m at a constant speed of 11.17 m/s. How…

A:

Q: A centrifuge in a medical laboratory rotates at an angular speed of 3,700 rev/min. When switched…

A: From kinematics, the expression for the angular distance is:

Q: The formula v = 0.03 t can be used to calculate the tangential acceleration of an automobile moving…

A:

Q: Find the constant angular acceleration (in rad/s2) of the centrifuge.

A:

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.