An electric motor rotating a workshop grinding wheel at a rate of 117 rev/min is switched off. Assume the wheel has a constant negative angular acceleration of magnitude 2.50 rad/s. (a) How long does it take for the grinding wheel to stop? (b) Through how many radians has the wheel turned during the interval found in (a)? rad

As shown in the figure below, wheel A has a radius of 10 cm and is attached by a belt to to wheel C which has a radius of 25 cm.  The angular speed of wheel A is increased from rest at a constant rate of 1.1 rad/s2(α).  Determine the the time needed for wheel C to reach an angular speed of 100 rev/min assuming the belt does not slip.  The linear velocity of the belt must be the same so αArA=αCrC.  The relationship between angular acceleration and angular speed is ω=αt.  2pi rad = 1 rev.  Don't forget to convert to consistent units.

A wheel rotates with a constant angular acceleration of 3.50 rad/s^2. If the angular speed of the wheel is 2.00 rad/s at ti = 0, a) through what angle does the wheel rotate in 2.00 s?b) What is the angular speed at t = 2.00s?Answer: a) 630 degrees b) 9.00 rad/s

A motorcycle, which has an initial linear speed of 6.6 m/s,decelerates to a speed of 2.1 m/s in 5.0 s. Each wheel has a radius of 0.65 mand is rotating in a counterclockwise (positive) direction. What are (a) theconstant angular acceleration (in rad/s2) and (b) the angular displacement (inrad) of each wheel?

Jeff, running outside to play, pushes on a swinging door, causing its motion to be briefly described by ? = 8.5t2 + 0.650t + 1.75, where t is in seconds and ? is in radians. At t = 0 and at t = 1.50 s, what are the following? (a) angular position of the door ?(0)  =   rad ?(1.50)  =   rad (b) angular speed of the door ?(0)  =   rad/s ?(1.50)  =   rad/s (c) angular acceleration of the door ?(0)  =   rad/s2 ?(1.50)  =   rad/s2

A grinding wheel attached to an electric motor is initially rotating at 116 rev/min when it is suddenly switched off and comes to rest. Assume the wheel undergoes a uniform angular acceleration – 1.98 rad/s?. Through how many radians does the wheel turn in coming to a stop? {Note you'll have to convert rev and time units} O 28.5 rad O 55.6 rad O 37.3 rad O 43.1 rad O 14.7 rad MacBook Air 80 888 DII esc F3 F7 # $ % & 3 4 7 8 W R Y A D F G H J K C V

A particle moves in a circle of radius 80 m with a constant speed of 30 m/s. (a) What is its angular velocity in radians per second about the center of the circle? rad/s (b) How many revolutions does it make in 30 s? rev eBook

A wheel rotates about a fixed axis with an initial angular velocity of 20 rad/s. During a 5.0 second interval, the angular velocity decreases to 10 rad/s. Assume the angular acceleration is constant during the 5.0 second interval.  How many radians does the wheel turn through during the 5.0 s inteval?