A flywheel makes 120 rpm. Find the angular speed of any point on the wheel and linear speed of a point is 10 cm from the center of the wheel.
To find the angular speed of any point on the flywheel, we can use the formula:
Angular speed = (2 * π * RPM) / 60
Given that the flywheel makes 120 RPM, we can substitute this value into the formula:
Angular speed = (2 * π * 120) / 60
Simplifying:
Angular speed = (2 * 3.14 * 120) / 60
= (6.28 * 120) / 60
= 754.8 / 60
= 12.58 radians/second
So, the angular speed of any point on the flywheel is 12.58 radians/second.
To find the linear speed of a point that is 10 cm from the center of the wheel, we can use the formula:
Linear speed = Radius * Angular speed
Given that the point is 10 cm from the center, we can substitute this value as the radius:
Linear speed = 10 cm * 12.58 radians/second
Simplifying:
Linear speed = 125.8 cm/second
So, the linear speed of a point 10 cm from the center of the wheel is 125.8 cm/second.
To find the angular speed of any point on the wheel, we can use the formula:
Angular Speed = (2 * π * RPM) / 60
Given that the flywheel makes 120 RPM, we can substitute this value into the formula:
Angular Speed = (2 * π * 120) / 60
Simplifying the equation:
Angular Speed = (4 * π)
The angular speed of any point on the wheel is 4π (approximately 12.57) radians per minute.
To find the linear speed of a point that is 10 cm from the center of the wheel, we can use the formula:
Linear Speed = Radius * Angular Speed
Given that the radius of the wheel is 10 cm, we can substitute this value along with the angular speed we found:
Linear Speed = 10 cm * 4π
Simplifying the equation:
Linear Speed = 40π
The linear speed of a point 10 cm from the center of the wheel is 40π (approximately 125.66) cm per minute.
a. Va = 120rev/min. * 6.28rad/rev * 1min./60s = 12.56 rad/s.
b. C = pi*2r = 3.14 * 20cm = 62.8 cm = 0.628 m.= Circumference.
V = 120rev/min * 0.628m/rev * 1min/60s = 1.256 m/s.