# Tire Rotations and Frequency

If a bicycle tire is 66 cm in diameter. (a) At what frequency does the tire rotate when the bicycle is traveling at a speed of 30 km/h? (b) What is the angular frequency? Please show all work and formulas and the final answer. The final answer should be (a) 4.0Hz and (b) 25 rad/sec. I need to know exactly how to get those answers.

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This solution provides step by step explanations and equations for questions involving tire rotations.

Precalculus for technology

#46 Convert each degree measure to radians.

174degrees 50 minutes

#58 Convert each radian measure to degrees, write answers to nearest minute.

9.84763

#84 Find the distance in kilometers between each pair of cities, assuming they lie on the same north south line.

Farmersville CA, 36degrees North and Penticton British Columbia, 49degrees North

#98 The speedometer of Terryâ??s Honda is designed to be accurate with tires of radius of 14 inches.

a)find the number of rotations of a tire in 1 hour if the car is driven at 55 mph.

b)suppose that oversized tires of radius 16 inches are placed on the car if the car is now driven for 1 hour with the speedometer reading 55 mph how far has the car gone?, if the speed limit is 55 mph does terry deserve a speeding ticket?

6.2

#32 Find a calculator approximation for each circular function value.

sec(-8.3429)

#58 Find the value of s in the interval [0,(pi/2)] that makes each statement true.

cot s = .2994

#78 Use the formula w=(0/t) to find the value of the missing variable.

w=.90674 radian per minute, t=11.876 minutes

#82 Use the formula v=rw to find the value of the missing variable

v=18 feet per second, r=3 feet

6.3

#20 Graph each function over the interval [-2pi,2pi]. give the amplitude

y= -3 cos x

#52 for another electrical circuit, the voltage E is modeled by E=3.8 cos 40(pi)t, where is t is time measured in seconds.

a)find the amplitude and the period

b)find the frequency

c)find E when t= .02, .04, .08, .12, .14

d)graph one period of E

6.4

#24 find the amplitude, the period, any vertical translation, and any phase shift of the graph of each function.

y = (2/3) sin (x+(pi/2))

6.5

#24 Graph each function over a two-period interval

y = 1-tan x

#54 Graph each function over a one-period interval

y = sec(x+(3pi/4))

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