Final answer:
To calculate the angular velocity and linear speed of a grinding wheel, specific rotational speed data is needed. Without it, the linear speed cannot be determined. Formulas for converting revolutions per minute to linear speed require conversion factors and knowledge of wheel radius.
Step-by-step explanation:
To determine the angular velocity of the grinding wheel, we would need additional information like the time it takes to complete a rotation or the number of rotations per a given time. For a uniform cylinder grinding wheel with a radius of 6.60 cm, calculating the linear speed without the angular velocity cannot be done.
For a similar grinding wheel with a given rotational speed, like the example provided where an ordinary workshop grindstone with a radius of 7.50 cm rotates at 6500 rev/min, the linear speed at the edge of the wheel can be computed. Using the formula v = rω where v is the linear speed, r is the radius and ω is the angular velocity in radians per second. First, we would convert rev/min to rev/s by dividing by 60, and then convert revolutions to radians by multiplying by 2π (since there are 2π radians in one revolution).