Question
help on math?
Suppose an arc or length s lies on the unit circle x^2 + y^2 = 1, starting at point (1, 0) and terminating at the point (x, y). Use a calculator to find the approximate coordinates (x, y). Remember, this is just a representation of what the problem is describing. This is not necessarily an exact depiction of the angle described. s = -1.5 Solve the problem. Two pulleys of diameters 6 m and 3 m are connected by a belt. The larger pulley rotates 37 times per min. Find the angular speed of the larger pulley. Find the linear speed of the larger pulley. Find the linear speed of the smaller pulley. Find the angular speed of the smaller pulley. Through how many radians does the larger pulley rotate in 15 seconds? How many degrees has the larger pulley rotated in 15 seconds? (round to the nearest second) Through how many radians does the smaller pulley rotate in 15 seconds? How many degrees has the smaller pulley rotated in 15 seconds? (round to the nearest second)
Explanation / Answer
x = cos s
y = sin s
value of arc length s = -1.5
hence , coordinates
x = cos (-1.5)
x = 0.9996
y = sin (-1.5 )
y = -.0262
therefore, (x,y) =( 0.9996 , -0.0262 )
