The vacuum cleaner’s armature shaft S rotates with an angular acceleration of a = 4v3/4 rad/s2, where v is in rad/s. Determine the brush’s angular velocity when t = 4 s, starting from v0 = 1 rad/s, at u = 0. The radii of the shaftand the brush are 0.25 in. and 1 in., respectively. Neglect the thickness of the drive belt.

(a) Convert 50.0° to radians. rad (b) Convert 14.0 rad to revolutions. rev (c) Convert 72.5 rpm to rad/s. rad/s

A wheel of radius 75cm is rotating with a frequency of 3.0Hz about a fixed axis of rotation. What is the speed of a piece of chewing gum stuck to the rim?

Point A of the circular disk is at the angular position 0 = 0 at time t = 0. The disk has angular velocity wo = 0.29 rad/s at t = 0 and subsequently experiences an angular acceleration a = 1.8t where t is in seconds, and a is in radians per second squared. Determine the velocity and acceleration of point A in terms of fixed i and j unit vectors at time t = 2.7 s. Assumer = 145 mm. α Answers: VA = aд = 90 (i ( i 0 6.806 i + i + i i 1 0.705 j) m/s j) m/s²

A solid cylinder with a mass of (5 kg) and a radius of (0.2 m) (I =12MR2) is initially rolling along a flat plane with a linear velocity of (10ms). The cylinder then comes to the edge of a ramp that is inclined by (34degrees) to the horizontal and begins to roll up the ramp. How high above the flat plane does the cylinder reach before it starts to roll back down?

A cord is wrapped around the rim of a wheel 0.300 m in radius, and a steady pull of 38.5 NN is exerted on the cord. The wheel is mounted on frictionless bearings on a horizontal shaft through its center. The moment of inertia of the wheel about this shaft is 5.35 kg⋅m2   Compute the angular acceleration of the wheel.

Peg P is driven by the fork link OA along the curved path described by r 2.8.8 ft. At the instant = 1.3 rad, the angular velocity of the link is = 1.4 rad/s and the angular acceleration is 0=0.66 rad/s². For peg P at this instant, please find: radial acceleration a, a -10.55 transverse acceleration ag= magnitude of total acceleration a= m m m 5²

If the turbine of the engine spins at 112 rev/min. What is their angular velocity in radians per second?

The blades on an electric blender are moving with an angular velocity of 296.8 radians/s. When the blend button is pressed, the blades accelerate at a constant value of 302.7 rdians/s^2. Find the angular velocity of the blades after they have moved through an angular displacement of 75.9 rad (radians) with this angular acceleration. Note the unit of radians is abbreviated as rad.

DETAILS SERCP11 7.3.P.012. A 40.0-cm diameter disk rotates with a constant angular acceleration, of 2.70 rad/s. It starts from rest at t, 0, and a lipe drawn from the center of the disk to a point Pon the rim of the disk makes an angle of 57.3° with the positive x-axis at this time. (a) At t 2.43 s, find the angular speed of the wheel. rad/s (b) At - 2.43 s, find the magnitude of the linear velocity and tangential acceleration of P m/s m/s? linear velocity tangential acceleration (c) At t 2.43 s, find the position of P (in degrees, with respect to the positive x-axis) counterclockwise from the +x-axis Need Help? Read