Assignment:
Car Engine's Angular Speed
Q1.) The engine of a sports car rotates at 5,000 revolutions per minute (rpm). Calculate the angular speed of the engine in radians per second. Use 2π radians = 1 revolution.
Q2.) Convert -60° to radians. Express the answer as a multiple of π
Q3.) Draw the following angle in standard the position:
7π /4
Q4.) In which quadrant will the angle 100° lie in the standard position?
Q5.) In which quadrant will the angle -350° lie in the standard position?
Q6.) Convert the following angle to degrees:
π/5
Q7.) Find a co-terminal angle for the following angle:
-268°
Q8.) Find the value of (sin 38°) (csc 38°)
Q9.) Use an identity to find the value of:
sin²50° + cos² 50°
Q10.) Find the radian measure of the central angle of a circle of radius r = 4 inches that intercepts an arc of length s = 20 inches.
Q11.) Classify the angle 101° as acute, right, obtuse, or straight.
Q12.) Find the length of the arc on a circle of radius r = 5 yards intercepted by a central angle ? = 70°
Q13.) Classify the angle as acute, right, obtuse, or straight.
![751_acute.JPG](https://secure.tutorsglobe.com/CMSImages/751_acute.JPG)
Q14.) Classify the angle as acute, right, obtuse, or straight.
![919_14.JPG](https://secure.tutorsglobe.com/CMSImages/919_14.JPG)
Provide complete and step by step solution for the question and show calculations and use formulas.