A machine part rotates at an angular speed of 0.057 rad/s; its speed is then increased to 2.0 rad/s at an angular acceleration of 0.60 rad/s2. (a) Find the angle through which the part rotates before reaching this final speed. rad (b) If both the initial and final angular speeds are doubled and the angular acceleration remains the same, by what factor is the angular displacement changed? by a factor of 2 by a factor of 4 by a factor of 16 The angular displacement doesn't change. Why?

Part(a): The required change in angular displacement will be .

Part(b): The angular displacement will be increased by a factor of 2.

Explanation:

If , , and represents the initial angular velocity, the final angular velocity , the angular acceleration and the change of angular displacement s, then from angular kinematic equation, we can write

Part(a):

Given, , and . Substituting ll the values in the above equation, we have

So the angle through which the parts rotates before reaching the final speed is .

Part(b):

Given, , and . So,

Therefore, the angular displacement will be changes by a factor of 2.

it about 600 mph from what i calculated

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation: