Question

Please shows me the steps to understand where did you get the numbers

Q1). Assume it takes 8.00 minutes to fill a 15.0 gal gasoline tank. (1 U.S. gal = 231 in.3)

(a) Calculate the rate at which the tank is filled in gallons per second.

(b) Calculate the rate at which the tank is filled in cubic meters per second.

(c) Determine the time interval, in hours, required to fill a 1 m³ volume at the same rate.

Q2). A highway curve forms a section of a circle. A car goes around the curve. Its dashboard compass shows that the car is initially heading due east. After it travels 650. m, it is heading 35.0° south of east. Find the radius of the curvature of its path. (Use the correct number of significant figures.)

Answer 1

We can use unitary method to solve the problem.

1 gallon = 3.78541 litres

Time required to fill a 15 gal gasoline tank = 8 minutes

(a) Volume of tank filled in 8 minutes = 15 gallons

Volume of tank filled in 1 minute ( or 60 seconds) = 15/8 gallons

Volume of tank filled in 1 second = 15/(8x60) gallons = 0.03125 gallons

Therefore, rate = 0.03125 gallons / second

(b) Rate in cubic metres per second = 0.03125 x 0.00378541 m³/s = 0.000118 m³/s

(c) Time taken to fill 0.000118 m³ volume of tank = 1 second

Time taken to fill 1 m³ volume of tank = 1/ 0.000118 s = 8474.576 s = 8474.576 / (60x60) hours = 2.35 hours