Final answer:
The equation relating force, mass, speed, and radius for an object in circular motion is given by the centripetal force formula Fc = m * v^2 / r, where Fc is the force, m is the mass, v is the speed, and r is the radius of the circular path.
Step-by-step explanation:
To relate force, mass, speed, and radius we can use the concept of centripetal force that acts on a mass moving in a circular path. The equation for centripetal force is Fc = m × v^2 / r, where Fc is the centripetal force, m is the mass, v is the tangential speed, and r is the radius of the circular path.
Alternatively, centripetal force can also be expressed as Fc = m × r × ω^2, where ω (omega) is the angular velocity. Although angular velocity is not directly given in the question, it's important to recognize that speed (v) is related to angular velocity (ω) by v = r × ω.