Apendulum is made from a thin cylindrical rod pivoted at the end. it has a length of 0.30 m and radius 0.001 m. it swings up to a max angle. measured from vertical. the angular speed at the bottom of its swing is 2.9 rad/s. what is the max angle in radians?

Maximum angle is rad

Explanation:

As per the question:

length of the pendulum, L = 0.30 m

Radius of the pendulum, R = 0.001 m

Angular speed at the bottom,

Now,

To calculate the maximum angle, :

For the pendulum, the moment of inertia, I =

Now, using the principle of the conservation of energy:

Kinetic energy = Potential energy

where

h =

Thus

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:

the current is 0.6

voltage ÷ resistance = current

so 12 ÷ 20 = 0.6