The angular velocity of a fan blade is 6.2 radians per second.

Approximately how many revolutions does the fan blade make in 1.6 minutes?

Enter your answer, rounded to the nearest tenth of a revolution

94.7 revolutions

Step-by-step explanation:

In the question above, we are given the following values for the fan

Angular velocity = 6.2 radians per seconds

Time = 1.6 minutes.

Step 1

We would convert the time given to seconds

1 minute = 60 seconds

1.6 minutes = ?

We cross multiply

1.6 minutes * 60 seconds

= 96 seconds

Step 2

Number of revolutions made by the fan is calculated as:

Angular velocity (rad/s)

* time (seconds)

Number of revolutions = 6.2 radians per seconds * 96 seconds

=595.2 radians

Converting from radians to revolution

1 radian = 0.159155 revolutions

595.2 radians =

Cross multiply

= 595.2 radians * 0.159155 revolutions

= 94.729056 revolutions.

Approximately to the nearest tenth = 94.7 revolutions.

Therefore, the number of revolutions the fan blade makes in 1.6 minutes is 94.7 revolutions.