Usually they aren't. But you may want to give more details about the specific situation you were thinking about.
In the case of rotational movement, the linear speed (in meters/second) is equal to the rotational speed (in radians/second) times the radius (in meters).
More rpm means more speed, but the speed is also related to the diameter of the rotating object. The exact formula is: speed = angular speed x radius (assuming compatible units are used: for example, speed in meters/second, angular speed in expressed in radians/second, radius in meters).
The radius of an orbit is directly related to the average speed of the orbiting body. As the radius of the orbit increases, the average speed of the orbiting body decreases. This is because at a larger distance from the center of mass, the gravitational force decreases, requiring a lower speed to maintain the orbit.
Rotational speed is inversely proportional to the radius. A smaller radius will result in higher rotational speed, while a larger radius will result in lower rotational speed. This relationship is described by the equation v = rω, where v is linear speed, r is radius, and ω is angular velocity.
Tangential speed is directly proportional to the radius. As the radius of an object increases, its tangential speed also increases. This relationship is described by the equation v = rω, where v is tangential speed, r is the radius, and ω is the angular velocity.
The linear speed is directly proportional to the radius of rotation. An increase in radius will result in an increase in linear speed, while a decrease in radius will result in a decrease in linear speed. This relationship is governed by the equation v = ω * r, where v is linear speed, ω is angular velocity, and r is radius.
Angular speed is calculated by dividing the linear speed by the radius. If the radius is unknown, you would not be able to directly find the angular speed without more information about the motion.
divide the linear speed by the radius
The diameter of a circle is twice its radius.
speed of sound
For circular motion, linear speed = angular speed (in radians) x radius. How the radius affects speed depends what assumptions you make about the problem. For example, if you assume the radius increases but the angular speed does not, then of course the linear speed will increase.
The linear speed of a rotating object depends on its angular speed (how fast it rotates) and the distance from the axis of rotation (the radius). Linear speed is calculated as the product of the angular speed and the radius.
The Schwarzschild radius is a concept related to black holes. Given a body it is the radius such that, if all the mass of the body were squeezed (uniformly) within that sphere, then the escape velocity at the surface of the velocity would be equal to the speed of light.