UNIVERSITY" Student Name: Tara Miller MAT-154 Topic 2 Project Worksheet Respond to the following questions. Refer to Topic 2 Project Assignment...
I need help answering number 2 and number 3 I started number 2 but I don't think it's right. Maybe some of my work is off? I just need help with this whole thing.
® UNIVERSITY“ Student Name: Tara Miller MAT-154 Topic 2 Project Worksheet Respond to the following questions. Refer to Topic 2 Project Assignment resource forcomplete instructions. Fill the following table with the parameters of your study Project 2 ParametersQuantlg Letter Value DlmenslonsRider Weight w; 120 14;;Bike Weight wg 11.3 &§Total Weight w 131.3 lb;Wheel Diameter :1 14 QGear Ratio r 1.79 Table 1: insert here the parameters of the problem. your weight, the bike '5 weight. the totalweight of the rider and bike, the diameter of the wheel, and the gear ratio. The following two questions you previously answered in Topic 2 DQ 1. Copy your answers hereand then complete the rest of the worksheet. Let t be the number of turns the fiont pedal makes and let f (t) be the corresponding number offilms the wheel makes given the gear ratio r, Input your expression for f (I) here using the value of r from Table l:f(t)=r.t Let g (t) be the speed in miles/hour (use the conversion 1 mile=5280 m that the bike is movingif the wheel is turning at t turns per minute, Give your expression for g(t)here: 8(t)=smd/5280).11.3 The cadence is the number of turns of the pedal per minute made by the rider measured inrevolutions per minute (RPM). In practice, a cadence of 19rpm means that the rider does 19pedal strokes in one minute. 1. The composition of g with f gives the speed of the bike in miles per hour (MPH), Input your expression for (g ° f )(t) = g(f(t)) here:(3M)=g(f(t))=(1.79)2 a 19 asp: * (i) s 11.3 = 5.73 What is your speed in MPH with a cadence of 60 RPM? W)=g(f(t))=(1.79)2 it 11.3 ipi * (i) i 11.3 = 3.41 HINT: you can use the Cadence Excel Worksheet to check your work, just make sure tohave the correct parameters in formulas inside the worksheet. 2. One formula for calories burned while riding is Calories burned/hour = 7.2 ~ (0.0053 ~ 11 ~ w + 0.0083113) where v = average velocity in MPH and w is the combined weight of the rider, bike, andaccessories in pounds. View this as a function of C(17) with the parameter w fixed. Find the function for calories/hour burned while hiking as a function of cadence. Youwill have to use your own mass and guess the mass of the bike (or look it up on google). Calories burned as a function of cadence is C(17) = C((y o f)(t)) = (c o g o f)(t)is acomposition of three functions! What is your expression for (c u g u f)(t)? (c a g of)(t) = c(g(f(t))) = 3.41 : 7.2 a (0.0053 -v -w + 0.0083 a 173)(c = s °f)(t) = c(g(f(t))) = 3.41 : 7.2 i (0.0053 *How many calories do you bum per hour at a cadence of 60 RPM? HINT: you can use the Cadence Excel Worksheet to check your work, just make sure tohave the correct parameters in formulas inside the worksheet.
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