The Calculation of Dog's Mass in Circular Motion
Understanding Circular Motion and Centripetal Force
Calculating the Dog's Mass
Given that the centripetal force maintaining the dog's circular motion is 32.3 N, we can calculate the mass of the dog using the following steps: Step 1: Substitute the formula for velocity in circular motion (v = ωr) into the centripetal force formula: F = m(ωr)²/r F = mω²r Step 2: Rearrange the formula to solve for the mass (m): m = F/ω²r Step 3: Now, plug in the values: F = 32.3 N, r = 1.22 m, ω = 1.07 rad/s Step 4: Calculate the mass of the dog: m = 32.3 / (1.22 * 1.07) m = 24.74 kg Therefore, the mass of the dog is approximately 24.74 kg. This calculation shows that the dog's circular motion is maintained by a force of 32.3 N due to its mass.What is the formula for centripetal force in circular motion?
The formula for centripetal force in circular motion is F = mv²/r, where F is the force, m is the mass of the object, v is the velocity, and r is the radius of the circular path.