What is the rotational speed 5R per minute of a grinding wheel with a radius of 10cm? In seconds and centimeters

What is the rotational speed 5R per minute of a grinding wheel with a radius of 10cm? In seconds and centimeters

Angular velocity W = 2 π * 5R / min = 2 π * 5R / 60s = π / 6rad / S = 0.52rad/s
Linear velocity = w * r = 0.52 * 10 = 52cm / S

Linear velocity and angular velocity

Angular velocity is the rotation angle of a circular object per unit time. The earth is a solid ball. Therefore, when it rotates, the rotation angle of each point on the spherical surface is the same per unit time, that is, the angular velocity is the same. Linear velocity is the arc length per unit time. The arc length is equal to the radius multiplied by the angle corresponding to the arc, The longer the radius, the longer the arc length. All points on the earth rotate around the same rotation axis, and the corresponding rotation radius is the radius of the local latitude circle at different latitudes. At this time, the earth is roughly regarded as a sphere, so the rotation radius = cos value of the local latitude * equatorial radius. It can be seen that the higher the latitude, the smaller the rotation radius, The smaller the arc length [arc length = rotation radius * rotation angle (radian)] is, the smaller the linear velocity is. At the north and South points, the rotation radius is zero, and the angular velocity and linear velocity are both zero

What do you mean by 1000 R / min
How to explain the speedometer of motorcycle × 1000r / min

With the development of science and technology, motorcycle display instrument has developed from pointer type to digital type. Digital display instrument adopts microprocessor measurement and control technology and sensor measurement technology. It can display vehicle speed, mileage, fuel quantity by controlling LED and light-emitting combination of digital display, and auxiliary display speed