a wheel is rotating at 8 radians/sec, and the wheel has a 47 inch diameter. to the nearest foot, what is the velocity of a point on the rim in ft/min?

all i know is that you have to use the formula v=r.w

no

do
8*60 *47 /24

velocity=angularspeed*radius

radius=47/2 inches
angular speed is 8 rad/sec

r = 47/2 /12

v = omega in radians/min * r
v = 8 rad/sec *60 sec/min *(47/2)(1/12)

so i should do 8*47/2?

You have to do the units right !!!!!

ok i got it thnks

its 940 ft/min

To calculate the velocity of a point on the rim of a wheel, you can use the formula v = r * ω, where v is the linear velocity in feet per minute, r is the radius of the wheel in feet, and ω is the angular velocity of the wheel in radians per second.

First, let's find the radius of the wheel. The diameter of the wheel is given as 47 inches, so the radius can be found by dividing the diameter by 2:

radius = diameter / 2 = 47 inches / 2 = 23.5 inches

To convert the radius from inches to feet, divide it by 12:

radius = 23.5 inches / 12 = 1.95833 feet (rounded to 6 decimal places)

Now that we have the radius, we can calculate the velocity. The angular velocity is given as 8 radians per second, so we can substitute the values in the formula:

v = r * ω
v = 1.95833 feet * 8 radians/second

Multiply the radius by the angular velocity:

v = 15.6666 feet/second (rounded to 4 decimal places)

Finally, to convert the velocity from feet per second to feet per minute, multiply it by 60:

v = 15.6666 feet/second * 60 seconds/minute

v = 940 feet/minute (rounded to the nearest foot)

Therefore, the velocity of a point on the rim of the wheel is approximately 940 feet per minute.