Question

In: Advanced Math

Suppose your vehicle’s speedometer is geared to accurately give your speed only using a certain tire...

Suppose your vehicle’s speedometer is geared to accurately give your speed only using a certain tire size: 17” diameter wheels (the metal part) and a 6.5” tires (thickness of rubber part).

a. If your vehicle’s instruments are properly calibrated, how many times should your tire rotate per second if you are travelling at 55 miles per hour?

b. Now find the angular speed from part a.

c. Suppose you bought new 7.1” tires for your 17” diameter wheels. You took the for a test run and drove at a constant speed of 55 miles per hour (according to your vehicle’s instrument). However, a law enforcement officer stopped you and claimed that you were speeding in a 55 miles per hour zone. How fast did the officer’s radar clock you at, in miles per hour?

Solutions

Expert Solution


Related Solutions

Suppose there are only two firms serving your market with the high-speed Internet access. Market demand...
Suppose there are only two firms serving your market with the high-speed Internet access. Market demand is estimated to be P = 40 – 5(Q1 + Q2). Each firm’s marginal cost is $20. Suppose each firm maximizes its own profit, treating the other’s quantity as constant. Find an expression for firm 1’s optimal output as it depends on firm 2’s. In equilibrium, what common levels of output will each firm supply? b. Suppose the two firms decide to collude in...
The following data give the stopping distance d as a function of initial speed υ, for a certain
The following data give the stopping distance d as a function of initial speed υ, for a certain car model. Find a quadratic polynomial that fits the data. Determine the quality of the curve t by computing J, S, and r2.
Suppose that only 0.1% of all computers of a certain type experience CPU failure during the...
Suppose that only 0.1% of all computers of a certain type experience CPU failure during the warranty period. Consider a sample of 10, 000 computers. Let the random variable X equals the number of computers in the sample that have the defect. (a) What is the distribution of X? Write down its p.m.f. (b) Give expression for the probability that exactly 56 computers will have the defect. (c) What are the expected value and standard deviation of X? (d) Approximate...
Suppose that the distribution of typing speed in words per minute (wpm) for experienced typists using...
Suppose that the distribution of typing speed in words per minute (wpm) for experienced typists using a new type of split keyboard can be approximated by a normal curve with mean 64 wpm and standard deviation 15 wpm. b. What is the probability that a randomly selected typists typing speeds is between 45 and 90 wpm? Round your answer to four decmial places. Would you be surprised to find a typist in tis pop. to excced 105 wpm? Suppose two...
Suppose that the distribution of typing speed in words per minute (wpm) for experienced typists using...
Suppose that the distribution of typing speed in words per minute (wpm) for experienced typists using a new type of split keyboard can be approximated by a normal curve with mean 68 wpm and standard deviation 17 wpm. What is the probability that a randomly selected typist's speed is at most 68 wpm? What is the probability that a randomly selected typist's speed is less than 68 wpm? What is the probability that a randomly selected typist's speed is between...
This time your firm was only able to give you information about your total cost. That...
This time your firm was only able to give you information about your total cost. That information is given below: T C = 128 + 8Q + 2Q 2 (a) Find the marginal cost and the average cost. (b) Calculate the optimal cost-minimizing quantity
Using only the elements Ca, Cl, Si, give formulas for the following: (a) an ionic compound....
Using only the elements Ca, Cl, Si, give formulas for the following: (a) an ionic compound. (b) a molecular compound with polar covalent bonds that obeys the octect rule and has no formal charge. For part b I drew the lewis structure Cl(double bond)-Ca-(double bond)Cl with two lone pair on each chloride, is that correct? Please explain. Thank you.
Police check your speed using a light source that operates at 898 nm. You are in...
Police check your speed using a light source that operates at 898 nm. You are in a car driving towards the officer at 60 mph. What is the wavelength and frequency of the light that is reflected from your car that the officer detects? The wavelength of the reflected light is _______ nm The frequency of the reflected light is ________ Hz Please show all work and steps. Any help will be appreciated and thank you for your time.
writing a reply to the below question. be polite and give your thoughts. Only saying I...
writing a reply to the below question. be polite and give your thoughts. Only saying I agree is not allowed. 1. What is the operating budget and what are its components listing first the budget relied on by most other supporting budgets. The operating budget is an income statement that has been budgeted, as well as the schedules for the budgeted income. The revenue budget is the first budget and is the one the remaining budgets rely on. 2. Contrast...
Using a product of your choice, construct a table that illustrates increase in supply. Give your...
Using a product of your choice, construct a table that illustrates increase in supply. Give your table a title, for example, "Increase in Supply for Flower Pots". Label your column headings with details that include the reason for the increase in supply. Use realistic numbers and 5 price-quantity combinations. ***PRODUCT: CAKE***
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT