A particle makes 240 revolutions per minute on a circle of radius 2m. Find I. its period ii. angular velocity III. linear velocity.

Period T=0,25 seconds

Angular speed ω= 8πrad/second

Lineal speed ν= 50,26548246 m/s

Explanation:

As we know, 2πrad per second is 360°, (1 lap)

If the particle makes 240 laps in 60 seconds, we divide 240laps÷60seconds=4 laps per second.

Then, if it makes 4 laps in 1 second we´ll divide again 1second÷4laps = 025 seconds per lap.

Now, we already have:

1lap =2πrad/second

4laps = x

x= (2πrad x 4 laps)1 lap

simplify laps

x= 2rad x 4

x=8rad/second

For us to know  the lineal speed, we have this:

ν= ω x r

we repkace

ν = 8π rad/s x 2m

ν = 25,13274123 rad/s x 2m

ν = 50,26548246 metters per second

Espero que te sirva

Viva la raza ! :v

Period T=0,25 seconds

Angular speed ω= 8πrad/second

Lineal speed ν= 50,26548246 m/s

Explanation:

As we know, 2πrad per second is 360°, (1 lap)

If the particle makes 240 laps in 60 seconds, we divide 240laps÷60seconds=4 laps per second.

Then, if it makes 4 laps in 1 second we´ll divide again 1second÷4laps = 025 seconds per lap.

Now, we already have:

1lap =2πrad/second

4laps = x

x= (2πrad x 4 laps)1 lap

simplify laps

x= 2rad x 4

x=8rad/second

For us to know  the lineal speed, we have this:

ν= ω x r

we repkace

ν = 8π rad/s x 2m

ν = 25,13274123 rad/s x 2m

ν = 50,26548246 metters per second

Espero que te sirva

Viva la raza ! :v

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:

force tends to be low and long diustance masses are high