An electric fan is running on HIGH. After the LOW button is pressed, the angular speed of the fan decreases to 84.7 rad/s in 2.9
1 answer:
The initial angular speed of the fan will be 55.0 rad/sec. The angular speed of the fan decreases to 84.7 rad/s in 2.96 s.
<h3>What is angular acceleration?</h3>Angular acceleration is defined as the pace of change of angular velocity with reference to time.
Given data;
Final angular speed,
Initial angular speed,
Time period,t= 2.96 s
Angular deceleration = 47.2 rad/s²
Hence the initial angular speed of the fan will be 55.0 rad/sec.
To know more about angular acceleration refer to the link ;
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Answer:
We need a time of 8.118 minutes or higher in order to be sponsored by the company
Explanation:
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable that represent the running times of a population, and for this case we know the distribution for X is given by:
Where and
minutes.
And we want the fastest 5% of runners, so we need a value a such that:
or
We need on the right tail of the distribution a value a that gives to us 95% of the area below and 5% of the area above. Both conditions are equivalent.
Let's use the condition , the best way to solve this problem is using the z score with the following formula:
So we need a value from the normal standard distribution that accumulates 0.95 of the area on the left and 0.05 on the right. This value on this case is 1.64 and we can founded with the following code in excel:
"=NORM.INV(0.95,0,1)"
If we apply the z score formula to our case we have this:
So then based on the equalities we have this:
And if we solve for a we got:
So then we need a time of 8.118 minutes or higher in order to be sponsored by the company