1. Mars rotates on its axis at the rate of about .2552 radian per hour. Approximately how many hours are in a Martian day?

2. Earth travels about the sun in an orbit that is almost circular. Assume that the orbit is a circle with a radius of 93,000,000 miles. Its angulae and linear speeds are used in designing solar-power facilites.
A. Assume that a year is 365 days, and find the angle formed by Earth’s movement in one day.
B. Give the angular speed in radians per hour.
C. Find the linear speed of Earth in miles per hour.

3. Earth revolves on its axis once every 24 hours. Assuming that Earth’s radius is 6400 km, find the following:
A. angular speed of Earth in radians per day and radians per hour
B. linear speed at the North or South Pole
C. linear speed at the equator
D. linear speed at Salem, Oregon (a city halfway betweent eh equator and the North pole)

4. A pulley has a radius of 12.96 cm. Suppose it takes 18 seconds for 56 cm of belt to go around the pulley.
A. find the linear speed of the belt in centimeters per second
B. find the angular speed of the pully in radians per second.

5. Two pulleys have a radii of 15 cm and 8 cm roughly. The larger pulley rotates in 36 seconds. Find the angular speed of each pulley in radians per second.

6. A thread is being pulled off a spool at the rate of 59.4 cm per second. Find the radius of the spool if it makes 152 revolutions per minute.

**Please don’t say do your own work or I could have been asking for help while typing these. I can struggle through most of them but I don’t get how to find all the missing parts. Even if you can answer one it would help me with the others. If you could show your what you did or if you know of a video that shows this type of stuff leave me the link. I have a test on Monday and I need to know this stuff.
For 6 I started to do something but I quit because I thought it was wrong.

152 revolutions/minute * 1 minute/60 seconds * 59.4 cm/1

And I think I have all of the rest figured out except 4. I don’t even know where to begin but I will attempt it and according to the book it is wrong…

r=12.96 cm
t=18 second
O (theta) = 2(3.14)/18 seconds

A. v= 12.96cm(2(3.14)radians/18 seconds)/18 seconds
v = ..2513

B. w=O/t
w=(2(3.14)radians/18 seconds)/18 seconds
w= .0194

As you can see I need help…and bad