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

the amount of current in the coil