$MathMaster logo$

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)

What is the length of the hypotenuse in a right triangle with legs measuring 8cm and 15cm?

+

Question: What is the average value of the function f(x) = 3x^2 + 4x - 1 over the interval [-2, 2]?

+

What is the mode of the following set of numbers: 7, 2, 5, 9, 7, 3, 7?

+

New questions in Mathematics

Convert the following function from standard form to vertex form f(x) = x^2 + 7x - 1

Solution of the equation y'' - y' -6y = 0

Kayla has $8,836.00 in her savings account. The bank gives Kayla 5%of the amount of money in account as a customer bonus. What amount of money does the bank give Kayla? Justify your answer on a 6th grade level.

2. Juan is flying a piscucha. He is releasing the thread, having his hand at the height of the throat, which is 1.68 meters from the ground, if the thread forms an angle of elevation of 50°, at what height is the piscucha at the moment that Juan has released 58 meters of the thread?

The bus one way of the road which is 10km is heading with speed of 20km/h ,then the bus the other 10km is heading with speed of 60km/h. The middle speed of the road is it equal with arithmetic speed of the v1 and v2 ?

A bird randomly chooses to land on 1 of 12 perches available in its aviary. Determine the Probability of it landing on a perch numbered 8 and then on a perch marked with a prime number; take into account that he never lands on the same perch in the sequence.

Equivalent expression of the sequence (3n-4)-(n-2)

-3(-4x+5)=-6(7x-8)+9-10x

A merchant can sell 20 electric shavers a day at a price of 25 each, but he can sell 30 if he sets a price of 20 for each electric shaver. Determine the demand equation, assuming it is linear. Consider (P= price, X= quantity demanded)

(1) July 1, 2008: Receives $25,000 from Quinn Zealick for 25,000 shares of the stock common face value $1 from the bookstore. (2) July 1, 2008: Obtains $30,000 loan from local bank for needs of working capital. The loan earns 6% interest per year. The loan is payable with interest on June 30, 2009. (3) July 1, 2008: Sign a three-year rental agreement at an annual rent of $20,000 Pay the first year's rent in advance. (4) July 1, 2008: Purchases shelves for $4,000 in cash. The shelves have an estimated useful life of five years and zero residual value. (5) July 1, 2008: Purchase computers for $10,000 in cash. The computers They have an estimated useful life of three years and $1,000 in residual value. (6) July 1, 2008: Makes guarantee deposits with various book distributors for a total of $8,000. Deposits are refundable on June 30, 2009 if the bookstore pays on time all amounts payable for books purchased from distributors between July 2008 and June 30, 2009. (7) During 2008: Purchases books on account from various distributors for a cost of $160,000. (8)During 2008: Sells books costing $140,000 to $172,800. Of the total sales, $24,600 corresponds to cash and $148,200 is on account. (9) During 2008: Returns unsold books and books ordered in error for a cost of $14,600. The company had not yet paid for these books. (10) During 2008: Collected $142,400 from sales on account. (11) During 2008: Pays employees salaries of $16,700. (12) During 2008: Pays $139,800 to book distributors of the amounts payable for purchases on account. (13) December 28, 2008: Receives customer advances of $850 due to order books special that the bookstore will order and expects to receive during 2009. (14) December 31, 2008: Record the corresponding amount of interest expense on the loan in (2) for 2008. (15) December 31, 2008: Record the corresponding amount of rental expense for 2008. (16) December 31, 2008: Record the corresponding amount of depreciation expense on the shelves in (4). (17) December 31, 2008: Record the corresponding amount of depreciation expense about computers in (5). (18) December 31, 2008: Record the corresponding amount of income tax expense. profits for 2008. The income tax rate is 40%. The taxes are paid on March 15, 2009. (1) March 15, 2009: Pays 2008 income tax. (2) June 30, 2009: Pay off the bank loan with interest. (3) July 1, 2009: Obtains a new bank loan for $75,000. He loan is payable on June 30, 2010, with 8% interest payable to the expiration. (4) July 1, 2009: Receives security deposits from book distributors. (5) July 1, 2009: Pay the rent corresponding to the period from July 1 2009 to June 30, 2010. (6) During 2009: Purchase books on account for a cost of $310,000. (7)During 2009: Sold books for a cost of $286,400 for $353,700. Of the total sales, $24,900 corresponds to cash, $850 corresponds to special orders received during December of 2008 and $327,950 are on account. (8) During 2009: Returns unsold books at a cost of $22,700. The company has not yet I had paid for these books. (9) During 2009: Collects $320,600 from sales to accounts. (10) During 2009: Pays employees compensation of $29,400. (11) During 2009: pays $281,100 to book distributors for book purchases from account. (12) December 31, 2009: Declares and pays a dividend of $4,000.

Derivative of 2x

Kaya deposits 25,000 into an account that earns 3% interest compounded monthly. How much does Kaya have in the account after 6 years 8 months? Round to the nearest cent. 32,912.50 30,000 29,923.71 30,527.45

suppose a city with population 80,000 has been growing at a rate of 8% per year if this rate continues find the population of this city in 10 years

Find the vertex F(x)=x^2-10x

Below are three 95% CIs (where 𝜎 was known and 𝑥̅happened to be the same); one with sample size 30, one with samplesize 40, and one with sample size 50. Which is which?(66.2, 76.2)(61.2, 81.2)(56.2, 86.2)

Let A denote the set of all people who were alive in 2010. Let B denote the set of all real numbers. Let f assign, to each person in A, their weight during the year 2010. Is f a function? Explain in complete sentences.

-Please answer to the following questions: What is the price elasticity of demand? Can you explain it in your own words? What is the price elasticity of supply? Can you explain it in your own words? What is the relationship between price elasticity and position on the demand curve? For example, as you move up the demand curve to higher prices and lower quantities, what happens to the measured elasticity? How would you explain that? B-Assume that the supply of low-skilled workers is fairly elastic, but the employers’ demand for such workers is fairly inelastic. If the policy goal is to expand employment for low-skilled workers, is it better to focus on policy tools to shift the supply of unskilled labor or on tools to shift the demand for unskilled labor? What if the policy goal is to raise wages for this group? Explain your answers with supply and demand diagrams. Make sure to properly cite and reference your academic or peer-reviewed sources (minimum 2).

A gas is leaking at 3.5ft3/min in a room of 2.9m by 6.9ft by 15.7m. How long would it take (in seconds) for 22% of the room to reach the LFL, if the gas has a LFL of 2.51%?