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

Billy’s angular velocity, is 1508.16 radians per second

Step-by-step explanation:

We have to find angular velocity in radians per second

we have given angular velocity w = 4 revolutions per minute

we 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

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours