Question

A skater holds her arms outstretched as she spins at 110 rpm. What is the speed of her hands if they are 130 cm apart? (m/s)

Answer 1

To calculate the speed of the skater's hands, we can use the formula: Speed = Circumference x Angular Velocity. In this case, the skater's hands are 130 cm apart, so the circumference is 2 x 130 cm = 260 cm = 2.6 m. The angular velocity is given as 110 rpm. To convert this to radians per second, we multiply by 2π, so the angular velocity is 110 rpm x 2π rad/60 s = 11π rad/s. Now we can calculate the speed: Speed = 2.6 m x 11π rad/s ≈ 85.84 m/s

Step-by-step explanation:

To calculate the speed of the skater's hands, we can use the formula:

Speed = Circumference x Angular Velocity

In this case, the skater's hands are 130 cm apart, so the circumference is 2 x 130 cm = 260 cm = 2.6 m. The angular velocity is given as 110 rpm. To convert this to radians per second, we multiply by 2π, so the angular velocity is 110 rpm x 2π rad/60 s = 11π rad/s. Now we can calculate the speed:

Speed = 2.6 m x 11π rad/s ≈ 85.84 m/s