Adrive has a maximum speed of 10.000 revolutions per minute. if a disc has a diameter of 14 cm, what is the linear speed, in km/h of a point 5 cm from the center of the disc is spinning at a rate of 4000 revolutions per minute ! i’m struggling

As per the statement: A point 5 cm from the center of the disc is spinning at a rate of 4000 revolutions per minute

To find the linear speed in (km/hr):

Use conversion:

1 km = 100000 cm

1 hr = 60 min

radius of a disc(r) = a point from a center of a disc = 5 cm =

Angular speed of the drive is given by:

where v is the angular speed and T is the time for 1 revolution.

 ; where n is the revolution per min.

Substitute the given values we have;

or

Simplify:

km\min

1 hour = 60 minutes.

then;

therefore, the linear speed in km/hr is,

this is the formula: v = the value of investment at the end of the time period

p = the principal amount (the initial amount invested)

r = the annual interest rate

n = the annual frequency of compounding (how many times a year interest is added)

t = the number of years the money is invested

^ means raise to the power of