$MathMaster logo$

MathMaster

Home
general
a cylindrical piece of material 12 in in diameter is rotated on a lathe at 1300 rev min what is the tangential velocity at

Question

 A cylindrical piece of material 12 in in diameter is rotated on a lathe at 1300 rev/min. What is the tangential velocity at the surface of the cylinder? Value 4 points

130

likes

649 views

Answer to a math question  A cylindrical piece of material 12 in in diameter is rotated on a lathe at 1300 rev/min. What is the tangential velocity at the surface of the cylinder? Value 4 points

$Expert avatar$

4.5

92 Answers

1. Find angular velocity:

\omega = 1300 \times 2\pi \text{ radians per minute}

2. Calculate the radius:

r = \frac{12}{2} = 6 \text{ inches}

3. Use the formula for tangential velocity:

v = \omega \cdot r = (1300 \times 2\pi) \cdot 6 = 15600\pi \text{ inches per minute}

Answer:

v = 15600\pi \text{ inches per minute}

Frequently asked questions (FAQs)

Math question: Find the absolute extrema of the function f(x) = 3x^2 - 4x + 2 on the closed interval [0, 3].

+

What is the tangent ratio of an angle in a right triangle if the opposite side is 3 and the adjacent side is 4?

+

What is the value of 5 raised to the power of 3, squared, divided by the square root of 2?

+

New questions in Mathematics

Let X be a discrete random variable with range {1, 3, 5} and whose probability function is f(x) = P(X = x). If it is known that P(X = 1) = 0.1 and P(X = 3) = 0.3. What is the value of P(X = 5)?

5 people can complete a task in 72 hours. How many people are needed to complete the task in 60 hours.

Determine the equations of the lines that pass through the following points P1 (2;-1) and p2 (4;-1)

[(36,000,000)(0.000003)^2]divided(0.00000006)

You are planning to buy a car worth $20,000. Which of the two deals described below would you choose, both with a 48-month term? (NB: estimate the monthly payment of each offer). i) the dealer offers to take 10% off the price, then lend you the balance at an annual percentage rate (APR) of 9%, monthly compounding. ii) the dealer offers to lend you $20,000 (i.e., no discount) at an APR of 3%, monthly compounding.

Mrs. Emily saved RM10000 in a bank. At the end of the eighth year, the amount of money accumulated amounted to RM19992.71. If the bank pays an annual interest of x% for a year compounded every 6 months. Calculate the value of x.

Substitute a=2 and b=-3 and c=-4 to evaluate 2ac/(-2b^2-a)

Find all real numbers x that satisfy the equation \sqrt{x^2-2}=\sqrt{3-x}

19) If the temperature of -8°C decreases by 12°C, how much will it be? a)-20°C -4°C c) 4°C d) 20°C

Determine the Linear function whose graph passes through the points (6, -2) and has slope 3.

Calculate the change in internal energy of a gas that receives 16000 J of heat at constant pressure (1.3 atm) expanding from 0.100 m3 to 0.200 m3. Question 1Answer to. 7050J b. 2125J c. None of the above d. 2828J and. 10295 J

nI Exercises 65-68, the latitudes of a pair of cities are given. Assume that one city si directly south of the other and that the earth is a perfect sphere of radius 4000 miles. Use the arc length formula in terms of degrees to find the distance between the two cities. 65. The North Pole: latitude 90° north Springfield, Illinois: latitude 40° north

How much does 7.2 moles of ammonium dichromate weigh? (NH4)2Cr2O7

Arturo had hospitalization expenses of $8,300. Your policy for medical expenses Seniors have a deductible of $500 and expenses are paid at a 20% coinsurance. These are the first expenses ever this year, how much will Arturo have to pay in your bill for hospitalization expenses?

Recall that with base- ten blocks, 1 long = 10 units, 1flat = 10 long, and a block = 1 unit. Then what number does 5 flat, 17long and 5 units represent represent ?

y’’ -4y’ +4y = (12x^2 -6x)e^2x Y(0)= 1 Y’(0)=0 Y(x)=c1y1+c2y2+yp

Two trains leave stations 294 miles apart at the same time and travel toward each other. One train travels at 95 miles per hour while the other travels at 115 miles per hourHow long will it take for the two trains to meet?

I have a complex function I would like to integrate over. I can use two approaches and they should give the same solution. If I want to find the contour integral ∫𝛾𝑧¯𝑑𝑧 for where 𝛾 is the circle |𝑧−𝑖|=3 oriented counterclockwise I get the following: ∫2𝜋0𝑖+3𝑒𝑖𝑡⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯𝑑(𝑖+3𝑒𝑖𝑡)=∫2𝜋03𝑖(−𝑖+3𝑒−𝑖𝑡)𝑒𝑖𝑡𝑑𝑡=18𝜋𝑖 If I directly apply the Residue Theorem, I would get ∫𝛾𝑧¯𝑑𝑧=2𝜋𝑖Res(𝑓,𝑧=0)=2𝜋𝑖

Construct a set of six pieces of data with mean, median, and midrange of 67 and where no two pieces of data are the same.