Perform the following conversions: 0.510 in/ms to km/ms 22.50 gal/min to L/s 0.0

Question

Perform the following conversions:
0.510 in/ms to km/ms
22.50 gal/min to L/s
0.02500 ft^3 to cm^3

13 2o cm on each thi edge with an uncertainty of 0.2 cm. What is the volume of the box? What do you estimate to be the uncertainty in the calcu- at lated volume? 1.50 The distance from Grand Rapids, Michigan, to Detroit is listed in a road atlas as 153 miles. Describe some of the factors that contribute to the uncertainty in this number. To make the num- ber more precise, what would you need to specify and measure? 1.5 1.51 Perform the following conversions: (a) 5.00 days to s, (b) 0.0550 mi to m, (c) $1.89/gal to dollars per liter, (d) 0.510 in./ms to km/hr, (e) 22.50 gal/min to L/s, (f) 0.02500 ft3 to cmf 1.52 Carry out the following conversions: (a) 0.105 in. to mm, (b) 0.650 qt to mL, (c) 8.75 m/s to km/hr, (d) 1955 m? to yd. (e) $3.99/lb to dollars per kg, (f) 8.75 lb/ft3 to g/mL

Explanation / Answer

(d) 0.510 in/ms to km/hr

1 inch (in) = 2.54 x 10-5 kilometer (km)
so, 0.510 in = 0.510 x (2.54 x 10-5 km)
   = 1.2954x 10-5 km

1 milisecond (ms) = 2.78 x 10-7 hour (hr)

Now, 0.510 in/ms = (1.2954 x 10-5 km) / (2.78 x 10-7 hr)
      = 46.60 km/hr

(e)

22.50 gal/min to L/s

1 gallon (gal) = 3.78541 Liter (L)
22.50 gal = 22.50 x 3.78541 L
   = 85.17 L

1 minute (min) = 60 second (s)

Now, 22.50 gal/min = 85.17 L / 60 s
   = 1.42 L/s

(f)

0.02500 ft^3 to cm^3

1 feet (ft) = 30.48 cm
or 1 ft3 = (30.48 cm)3
or 1 ft3 = 28316. 85 cm3
or 0.025 ft3 = 0.025 x 28316. 85 cm3
= 707.92 cm3

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