Answers: a = [tex]\frac{3\pi}{2}[/tex], b = (0, -1), c = C, d = 0
Explanation:
a) Add 2π [tex](\frac{4\pi}{2})[/tex] until you get a positive value.
[tex]-\frac{\pi}{2}[/tex] + [tex]\frac{4\pi}{2}[/tex] = [tex]\frac{3\pi}{2}[/tex], which is located on the y-axis at 270°
b) Look at the Unit Circle to find the coordinates of [tex]\frac{3\pi}{2}[/tex] = (0, -1)
c) cot = [tex]\frac{adjacent}{opposite}[/tex] = [tex]\frac{x}{y}[/tex]
d) [tex]\frac{x}{y}[/tex] = [tex]\frac{0}{-1}[/tex] = 0
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Answer: 471.24
Explanation:
angular speed (w) = [tex]\frac{1(revolution)}{30(minutes)} *\frac{2\pi(radians)}{1(revolution)} *\frac{60(minutes)}{1(hour)}[/tex]
= 4π radians/hour
linear speed (v) = r * w
= [tex]\frac{75(meters)}{2} * \frac{4\pi(radians)}{hour}[/tex]
= 150π meters/hour
≈ 471.24 meters/hour
