A wheel is mounted on a stationary axle that lies along the z axis. The center of the wheel is at <0, 0, 0> m.  It is rotating with a constant angular speed of 31 rad/s. At time t = 4.40 s a red dot painted on the rim of the wheel is located at <0.20, 0, 0> m.  At time t = 4.48 s, what is the location of the red dot? (Assume that the wheel rotates in the counterclockwise direction. Express your answer in vector form.)

The angular position of a point on the rim of a rotating wheel is given by 0 = 7.36t - 5.00+2 + 3.1113, where O is in radians and t is in seconds. What are the angular velocities at (a) t = 2.31 s and (b) t = 6.20 s? (c) What is the average angular acceleration for the time interval that begins at t = 2.31 s and ends at t = 6.20 ? What are the instantaneous angular accelerations at (d) the beginning and (e) the end of this time interval? Only need help with D E part of problem

A turntable rotates clockwise at 80 rpm. A speck of dust on the turn table has an angular position of θ = π/2 radians at t = 0. What is the angular position of the speck at t = 7.5 seconds? Your answer should be between 0 and 2π.

Could I have help with this physics question?

There is a clever kitchen gadget for drying lettuce leaves after you was them. It consists of a cylindrical container mounted so that it can be rotated about its axis by turning a hand crank. The outer wall of the cylinder is perforated with small holes. You put the wet leaves in the container and turn the crank to spin off the water. The radius of the ontainer is 11.4 cm. When the cylinder is rotating at 1.36 revolutions per second, what is the magnitude of the centripetal acceleration of the outer wall?

At time t = 0 s, a wheel is spinning at 84 rad/s counterclockwise.  It begins accelerating counterclockwise at 11 rad/s2 until its angular speed is doubled, then the angular acceleration is reversed until the wheel comes to a stop.  How many times does the wheel spin (measured in number of rotations) between t = 0 and when the wheel comes to rest? (Please answer to the fourth decimal place - i.e 14.3225)

A heavy wheel is at position ANGLE angle1= 0 at TIME t1=0s. It is rotating at constant ANGULAR VELOCITY w= 0.325 1/s. What is its position ANGLE angle2 at TIME t2=1.97s?  (HINT: ALL angles in this problem are in radians, NOT degrees.)

The flagella of a bacterium can rotate very rapidly. If a flagellum rotates at a uniform angular speed of 1000 rad/sec, how long does it take for the flagellum to complete one–half of a rotation? 0.003 s 0.002 s 2000 s 3100 s

The angular position of an object that rotates about a fixed axis is given by θ(t) = θ0 eβt, where β = 4 s−1, θ0 = 0.9 rad, and t is in seconds. What is the magnitude of the total linear acceleration at t = 0 of a point on the object that is 2.1 cm from the axis? Answer in units of cm/s2.

There is a clever kitchen gadget for drying lettuce leaves after you wash them. It consists of a cylindrical container mounted so that it can be rotated about its axis by turning a hand crank. The outer wall of the cylinder is perforated with small holes. You put the wet leaves in the container and turn the crank to spin off the water. The radius of the container is 12.2 cm. When the cylinder is rotating at 2.45 revolutions per second, what is the magnitude of the centripetal acceleration at the outer wall? Number Units #