Apulley of radius 10 cm turns at 6 revolutions per second. what is the linear velocity of the belt driving the pulley in meters per second?
possible answers:
a. 376.99 m/s
b. 1.67 m/s
c. 166.67 m/s
d. 3.77 m/s

This problem is on the circular motion.

Assuming a basis of 1 sec, there would be 6 revolutions, which is equivalent to 6 circumference of the pulley. One revolution means one circumference, which is 2(pi)(10cm) or 20(pi) cm.

Therefore, linear speed is 6(20)(pi) cm/s or 376.99 cm/s or 3.77 m/s

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.