I am having trouble understanding angular and linear velocity; someone please help me understand how to complete these problems.

Use this information to help you: Bicycles are classified by the diameter of their wheels. For example, a 20inch bike has wheels with a 20inch diameter, and a 26 inch bike has wheels with a 26inch diameter. 1. The number of times a bicycle tire rotates in a given time period is directly related to the distance traveled in that time period. Consider the following scenarios. A bicycle with 26inch tires is being pedaled so that the tires are rotating at a rate of 200 revolutions per minute. A second bicycle with 20inch tires is being pedaled so that the tires are also rotating at a rate of 200 revolutions per minute. 1.Calculate the angular speed of the 26inch bicycle rotating at 200 revolutions per minute. Express your answer in radians per minute. Use = 3.14. 2.Next, calculate the linear speed of the 26-inch bicycle being pedaled at a rate of 200 revolutions per minute. Express your answer in inches per minute rounded to the nearest whole number. (Hint: The diameter of the wheel is 26 inches.) 3.Expressing a speed in inches per minute has very little meaning in the context of the problem. It would be more useful to express the answer in miles per hour. Use dimensional analysis procedures to transform your answer from problem 3 into miles per hour, rounded to the nearest tenth. 4.Use your answers to problems 2-4 to calculate the linear speed, in miles per hour, of a 20-inch bicycle being pedaled at a rate of 200 revolutions per minute. 5. At what rate would you have to pedal a 20-inch bike so that it traveled at a linear speed of 15.5 miles per hour? Express you answer in revolutions per minute rounded to the nearest whole number. (Hint: First change miles per hour into inches per minute.)