Billy goes on the teacup ride at the local carnival. He is seated 16 inches from the center of his teacup, which is spinning at a rate of 4 revolutions per minute. What is Billy’s angular velocity, in radians per second? Round your answer to the nearest hundredth

Answer:Billy’s angular velocity, is 1508.16 radians per second Step-by-step explanation:We have to find angular velocity in radians per secondwe have given angular velocity w = 4 revolutions per minutewe have to convert revolutions into radians and minutes into seconds.so, we use the following conversion:1 rev = 2* pi radians (where pi = 22/7 or 3.142)1 min = 60 sec putting the values in our equation : w = 4 revolutions per minute=> w= 4 * ( 2* 3.142) *60=> w= 1508.16 radians per second hence Billy’s angular velocity, is 1508.16 radians per second