Answer :
Answer:
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
Answer:
105.4 revolutions
Step-by-step explanation:
By converting 2.4 min into seconds, we'll have
2.4 minutes = 60 x 2.4 = 144 seconds.
Now, in 2.4 minutes, the fan rotate 4.6 [rad/s] x 144s = 662.4 radians
As the answer is required in revolution
therefore, 1 radian = 0.159155 revolutions
so 0.159155 x 662.4 = 105.4 revolutions
The fan rotated 105.4 revolutions in 2.4 minutes