Convert a length of 5.48 times 10^-12 miles into nanometers. Convert a flow rate

Question

Convert a length of 5.48 times 10^-12 miles into nanometers. Convert a flow rate of 52 cubic inches per minute into cubic meters per day. If light travels at a speed of 3 times 10^8 meters per second, how many minutes does it take sunlight to travel the distance of 2.8 times 10^12 miles to reach the planet Neptune? If you can rent a Ferrari at a cost of 0.35 miles for a dollar, find the total cost in dollars needed to travel 9.0 kilometers with the Ferrari. If a hummingbird can flap its wings in a time of 0.0120 seconds, how many flaps will the hummingbirds wings make in a time of 3 minutes? A large chicken starts at rest and begins to run along the ground with a constant acceleration. If chicken travels a distance of 6.2 meters from its starting point in the first 11.0 seconds, calculate acceleration of the chicken.

Explanation / Answer

1. 1 mile = 1609.34 m

and 1 nm = 10^-9 m

so, 5.48*10^-12 miles = 5.48*10^-12*1609.34*10^-9

= 8.8192*10^-18 nm

2. 1 inch = 0.0254 m

and 1 minute = 0.000694444 day

so, 52 inch^3/min = 52*(0.0254)^3/0.000694444

= 1.227 m^3/day

3. Distance = 2.8*10^12*1609.34 = 4.506*10^15 m

and speed = 3*10^8 m/sec

so, time taken = distance/speed

= 4.506*10^15/3*10^8

= 1.502*10^7 sec

= 1.502*10^7*0.01667 = 2.5*10^5 minutes

4. Rate = 0.35 miles/dollar

distance = 9 km = 9*0.621371 = 5.5923 miles

so, total cost = distance/rate =5.5923/0.35 = 15.978 dollars

5. In 0.0120 seconds = 1 flap of wing

so, in 1 sec = 1/0.0120 flaps of wing

In 3 minutes = 3*60 = 120 sec .

number of flaps = 120/0.0120 = 10,000

6. S = ut + at^2/2

so, 6.2 = a*11^2/2

or a = 2*6.2/(11)^2 = 0.1025 m/s

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.