The angular velocity of a fan blade is 4.6 radians per second.

Approximately how many revolutions does the fan blade make in 2.4 minutes?

State your answer, rounded to the nearest tenth of a revolution.

In 2.4 minutes the fan made 105.5 revolutions.

Step-by-step explanation:

In order to solve this problem we need to convert the speed from radians to revolutions. To do that we can use a rule of three as shown below:

2pi rad/s -> 1 rev/s

4.6 rad/s -> x rev/s

2pi/4.6 = 1/x

2pix = 4.6

x = 4.6/2pi = 2.3/pi rev/s

Now we need to conver the time at which the blade was spinning from minutes to seconds, to do that we need to multiply by 60.

t = 2.4*60 = 144 s

To calculate the number of revolutions we multiply the angular velocity of the fan by the time it was spinning:

rev = (2.3/pi)*144 = 331.2/pi = 105.5 revolutions

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.

7

step-by-step explanation: