A wheel 2.15 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration of 3.95 rad/s?. The wheel starts at rest at t = 0, and the radius vector of a certain point P on the rim makes an angle of 57.3° with the horizontal at this time. At t = 2.00 s, find the following. (a) the angular speed of the wheel rad/s (b) the tangential speed of the point P m/s (c) the total acceleration of the point P m/s2 ° with respect to the radius to point P magnitude direction (d) the angular position of the point P rad Need Help? Read It Master It

A wheel of radius 0.35 m rotates in a clockwise sense about a fixed axle with negligible friction at an initial angular speed of 2.6 rad/s. The wheel's mass of 17 kg is concentrated in its rim. You apply a clockwise torque to the rotating wheel by pushing on the rim tangentially with a constant force of 22 N. Find the wheels angular speed, in radians per second, 0.085 seconds after you start pushing on the rim.

A small object with mass 4.15 kg moves counterclockwise with constant angular speed 1.30 rad/s in a circle of radius 3.30 m centered at the origin. It starts at the point with position vector 3.301 m. Then it undergoes an angular displacement of 9.30 rad. (a) What is its new position vector? m (b) In what quadrant is the object located and what angle does its position vector make with the positive x-axis? ---Select--- ✓ at (c) What is its velocity? m/s (d) In what direction is it moving? (Give a negative angle.) • from the +x direction. (e) What is its acceleration? m/s² (f) What total force is exerted on the object? N

In the figure, wheel A of radius ra = 13.3 cm is coupled by belt B to wheel Cof radius rc=20.4 cm. The angular speed of wheel A is increased from rest at a constant rate of 1.43 rad/s2. Find the time needed for wheel C to reach an angular speed of 58.1 rev/min, assuming the belt does not slip. (Hint: If the belt does not slip, the linear speeds at the two rims must be equal.) TA Number i Units

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.

A wheel moves in the xy plane in such a way that the location of its center is given by the equations xO = 12t 3 and yO = R = 2, where xO and yO are measured in feet and t is measured in seconds. The angular displacement of a radial line measured from a vertical reference line is θ = 8t 4 , where θ is measured in radians. Determine the velocity of point P located on the horizontal diameter of the wheel at t = 1 s.

In the figure, a solid cylinder of radius 16 cm and mass 16 kg starts from rest and rolls without slipping a distance L = 6.9 m down a roof that is inclined at angle 0 = 32°. (a) What is the angular speed of the cylinder about its center as it leaves the roof? (b) The roof's edge is at height H = 6.8 m. How far horizontally from the roof's edge does the cylinder hit the level ground? (a) Number i (b) Number IN Units Units 0 H

Starting from rest, an airplane propeller begins to rotate with an angular acceleration a = 0.0600 rad/s2. The propeller radius is 60.0 cm. After exactly 4.00 seconds, calculate the total linear acceleration of the tip of the propeller. (The total linear acceleration is the vector combination of the tangential acceleration and the centripetal acceleration.) r= 60.0 cm

A flywheel with a diameter of 2.12 m is rotating at an angular speed of 92.5 rev/min. (a) What is the angular speed of the flywheel in radians per second? (b) What is the linear speed of a point on the rim of the flywheel? (c) What constant angular acceleration (in revolutions per minute-squared) will increase the wheel's angular speed to 1250 rev/min in 58.6 s? (d) How many revolutions does the wheel make during that 58.6 s?

The radius of a wheel is 0.890 m. A rope is wound around the outer rim of the wheel. The rope is pulled with a force of magnitude 5.00 N, unwinding the rope and making the wheel spin CCW about its central axis. Ignore the mass of the rope. (a) What is the angular displacement Δθ, in radians, of the wheel during 1.10 revolution? ___rad