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Daniel M.

Dedicated Tutor, Princeton University Student

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SAT

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Question:

What is the type of grammar mistake shown in the following sentence? I did really well on the SAT, then I went out to celebrate.

Daniel M.

Answer:

This is a classic example of a comma splice?

Statistics

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Question:

By looking at the histogram of a given data set we can see that the data is skewed to the right. What can we conclude about the relationship of the mean and the median?

Daniel M.

Answer:

From a right skewed distribution, the mean is greater than the median.

Physics

TutorMe

Question:

An old record player accelerates a disc from 0 RPM to 33.3 RPM in 5 seconds. A fly on the end of the disc stays on the record player for the entire 5 seconds. What is the total distance that the fly travels given that the disk has radius 5 inches?

Daniel M.

Answer:

In order to figure out how far the fly traveled, first we must find out how many rotations the disc performed, then multiply the number of rotations by the circumference of the disc to find the answer. The angular velocity at the end was 33.3 RPM or 3.5 rad/s. The angular acceleration was then 0.7 $$\frac{rad}{s^2}$$. Using the formula $$ \theta = \omega t + 1/2 \alpha t^2 $$ we find that the total angular displacement was 8.75 radians. Converting from radians to revolutions leads us to 1.39 revolutions. Finally the circumference of the disc was $$ C = 2\pi r = 2 \pi 5 in = 31.41 in $$, so the total distance traveled by the fly was 31.41 * 1.39 = 43.66.

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