Question

What is the equation for centripetal acceleration in terms of angular velocity and the radius?

a) ( a_c = frac{v}{r} )

b) ( a_c = r times omega )

c) ( a_c = frac{omega}{r} )

d) ( a_c = r div omega )

Answer 1

The correct equation for centripetal acceleration in terms of angular velocity (ω) and radius (r) is ac = rω2. b) ( a_c = r times omega )

Step-by-step explanation:

b) ( a_c = r times omega ) Centripetal acceleration a_c is the acceleration directed toward the center of the circular path and is associated with circular motion. The correct formula for centripetal acceleration in terms of angular velocity omega and the radius r is given by option b. The equation is ( a_c = r times omega ), where r is the radius of the circular path, and omega is the angular velocity, representing the rate at which an object rotates around the center of the circle. This formula expresses the relationship between the linear and angular aspects of circular motion.