The laser dot on the wall at point a moves at a pace of 6 times the circle’s diameter, while the laser dot at point (ii) moves at 6π radians per minute.

i. The equation for linear speed, can be used to calculate the speed of the laser dot on the wall at point a. The distance in this instance is equal to the diameter of the circle created by the rotation of the laser, and the amount of time required to transit it is equal to one revolution, or 1/6 of a minute. The diameter of the circle is divided by 1/6 of a minute or six times the circumference of the circle.

ii. The equation for angular speed is used to calculate the speed of the laser dot on the wall at position b. In this instance, the angle is 2 radians, and it takes 1/6 of a minute to cross that angle. Therefore, 2 radians divided by 1/6 of a minute, or 6π radians per minute, is the speed of the laser dot on the wall at point b.

Learn more about linear and angular speed here: