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

i. like it i'm gonna edit it tomorrow

the aurora is formed when charged particles emitted from the sun during a solar flare penetrate the earth's magnetic shield and collide with atoms and molecules in our atmosphere. these collisions result in countless little bursts of light, called photons, which make up the aurora.

auroras are generated by charged solar particles hitting molecules in earth's atmosphere. this usually happens in high latitudes, because our planet’s magnetic field tends to funnel these particles toward the poles. that’s why it can be experienced in northern ohio.