A compact disk rotates at 210 revolutions per minute. What is its angular speed in rad/s?

Q: A tire is rotating at an angular velocity of 12 rad/sec. If the radius of the tire is 0.35 m how far…

A: A tire is rotating with a angular velocity is 112 rad/ sec.Radius of the tire is 0.35 m.Calculate…

Q: A potter's wheel of mass 10 kg and radius 30 cm radius can be modelled as a uniform disk (a) The…

A: wf=wi+αtwi=0t=20 s

Q: A cooling fan is turned off when it is running at 930 rev/min. It turns 1,500 revolutions before it…

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Q: With what angular speed, in rad/s, does the Earth rotate about its axis? rad/s

A: The mathematical expression to calculate the angular speed is given as, ω=∆θ∆t Here, ∆θ is the…

Q: An object starts from rest and undergoes a circular motion for a period of 7.2 s until it turns at…

A: Use Newton's equations of motion to find the angular acceleration of the object. v=u+at The above…

Q: A cylinder rotating at 11 rad/s is accelerated to 41 rad/s in 12 s. What is the angular acceleration…

A: Given data:  Initial angular velocity (ω0) = 11 rad/s Final angular velocity (ω) = 41 rad/s Time (t)…

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: high-speed drill reaches 2780 rpm in 0.250 s, starting from rest. What is the drill's angular…

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Q: A medical saw is rotating at a constant rate of 15 revolutions per second. Calculate its angular…

A: Given value--- angular speed = 15 revolution per sec. We have to find--- angular speed in rad per…

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: A ball has a radius of 15cm. It is rolling at a steady 12 rad/s. What is its linear speed? ___ m/s…

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Q: A boy rides his bicycle 1.92 km. The wheels have radius 31.5 cm. What is the total angle (in rad)…

A: Answer              6095.238 rad

Q: How much time to achieve angular velocity of 35.9 rad/s and how many revolution does the blade turn…

A: (a) Given : initial angular velocity ωi = 0            final angular velocity, ωf = 35.9 rad/s…

Q: A torque of 60 N m is applied to a 30 kg solid sphere with a radius of 1.6 m. What is the angular…

A: The mass of the solid sphere, m = 30 kg.The radius of the solid sphere, R = 1.6 m.The applied…

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 dental drill takes 4.2 s to go from rest to its operating angular speed of 183688 rpm. Through…

A: The time taken by the dental drill to go its operating speed is 4.2 s. The angular speed of the…

Q: A rotating bar's angular position is changing over time as 24.1t2 radians from time, t=0.0s. What is…

A: Given A rotating bar's angular position is changing over time as 24.1t2 radians from time, t=0.0s.…

Q: A 0.25 m diameter-grinding wheel rotates at 28,000 rpm (revolutions per minute).  If it is brought…

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Q: A cd rotates at 27 rad/s. What is the angular speed in revolutions per minute (RPM)?

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Q: A blade with a 0.25 m radius starts from rest and rotates with an acceration 0f 0.25 rad/s2. What is…

A: The angular distance travelled is given by, Δθ=ω0t+12αt2 Here, ω0 is the initial angular speed, t is…

Q: A potter's wheel (1 = 6.3 kg-m²) spins at 24 rad/sec. A 2.4 kg glob of clay is dropped vertically…

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Q: A wheel rotates at 520 rpm. What is this angular speed in rad/s

A: Given  Speed N=520rpm

Q: The SI unitfor angular acceleration m/s^2 rad/s rad/s^2 non

A: angular acceleration is simply the change of angular velocity in some given interval of time.

Q: A wheel is spinning at 350 rev/s. It undergoes an angular acceleration until it reaches an angular…

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Q: A disk spins at 4.0 revolutions/second. What is its period, in second?

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Q: Two pullys are connected by a belt. The smaller pulley has a diameter of 2 inches, while the other…

A: Given: diameter of smaller pulley, D1 = 2 inch = 2×0.0254 = 0.0508 m diameter of larger pulley, D2 =…

Q: A disk of mass 3.8 kg and radius 45 cm with a small mass of 0.3 kg attached at the edge is rotating…

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Q: What is the angular velocity (in rad/s) of an 82.0 cm diameter tire on an automobile traveling at…

A: solution is given by

Q: What is the Angular Velocity in Degrees.

A: Angular velocity (ω) is defined as the rate of change of angular displacement.    mathematically,…

Q: What is the angular acceleration of the computer drive disk in rad/s^2 ?

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Q: Convert 51.0° to radians. rad= (b Convert 14.0 rad to revolutions. rev= Convert 80.0 rpm to…

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Q: A disc rotates at 90 rpm (revolutions per minute). What is the angular speed (in rad/s)?

A: Given data:  Angular speed (ω) = 90 rpm Required: The angular speed in rad/s

Q: A grinding wheel starts from rest and accelerates at a rate of 4 pi rad/s2 How long will it take for…

A: Given : initial angular velocity , ωi = 0 ( wheel starts from rest )             angular…

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.