Question

A disk (radius = 2.00: mm) is attached to a high-speed drill at a dentist's office and is turning at 7.85 times 10^4 rad/s. Determine the tangential speed of a point on the outer edge of this disk.

Answer 1

Tangential speed = 157 m/s

Step-by-step explanation:

Tangential speed = Angular speed x Radius

Angular speed = 7.85 x 10⁴ rad/s

Radius = 2 mm = 2 x 10⁻³ m

Tangential speed = Angular speed x Radius = 7.85 x 10⁴ x 2 x 10⁻³

Tangential speed = 15.7 x 10 = 157 m/s

Tangential speed = 157 m/s