A car tire with a radius of 16inches is turning at a rate of 120 revolutions per minute. Find the exact linear speed of the tire
1 answer:
Answer:
The car's tire moves at a speed of 1002.24 feet per minute.
Step-by-step explanation:
Given:
The radius of the car tire is r = 16 inches
Since 12 inches equals 1 foot,
16 inches converts to ×16 = 1.33 feet
The wheel completes 120 revolutions every minute.
Let the speed of the tire be s feet per minute.
The wheel's circumference is calculated as 2 × × radius.
Here, equals 3.14.
Thus, circumference = 2 × 3.14 × 1.33.
Therefore, Circumference = 8.352 feet.
Now, Speed = circumference of the wheel × revolutions per minute.
Thus, Speed = 8.352 feet × 120 revolutions per minute.
∴ Speed = 1002.24 feet per minute.
Thus, the car's tire speed is 1002.24 feet per minute. Answer
You might be interested in
Answer:
The likelihood that Albert's sample of 64 will have a mean waiting time between 13.5 and 16.5 minutes is 0.9973.
Step-by-step explanation:
Prior concepts
A normal distribution is characterized as a "probability distribution that is symmetric around the mean, indicating that data close to the mean are more frequent than those further away".
The Z-score refers to "a statistical measurement that reflects the relationship of a value to the mean of a group, measured in standard deviations".
Let X denote the random variable of interest, and we identify its distribution:
Also, let signify the sample mean, whose distribution is:
In this case,
Solution to the problem
We seek this probability
Applying the Z-score formula to the probability results in:
To determine these probabilities, we can refer to normal distribution tables, use Excel, or a calculator.
The likelihood that Albert's sample of 64 will have a mean waiting time between 13.5 and 16.5 minutes is 0.9973.