If an object moves in uniform circular motion in a circle of radius r = 1.0 meter, and the object takes 4.0 seconds to complete ten revolutions, calculate the centripetal acceleration.

Explanation:

The formula for centripetal acceleration is:

Where,

radius.

Angular speed.

Angular speed is defined by:

Where,

position angle.

time.

In this case we have that the object takes 4.0 seconds to complete ten revolutions.

You have to know that 1 revolution = , then

10 revolutions=

Replacing

in the formula of Angular speed:

Now we have,

r=1.0m

Then the centripetal acceleration is:

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: