A wheel turns through 200 revolutions per minute. How fast does it turn in radians per second?

In one second it turns 200 / 60 = 3 1/3 revolutions. Since one revolution is 360°, the answer is 6 2/3 π radians.

20.94 rad/sec

Step-by-step explanation:

200 rpm means 200 revolutions per min.

1 min = 60 sec

1 rev = 2pi

200 rev/min * (1min/60sec) *(2pi/1rev)

= 20.94 rad/sec

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2