Time Conversion Reference
- \(1 \text{ hour} = 60 \text{ minutes}\)
- \(1 \text{ minute} = 60 \text{ seconds}\)
- \(1 \text{ hour} = 3600 \text{ seconds}\)
- \(1 \text{ minute} = \frac{1}{60} \text{ hours}\)
- \(1 \text{ second} = \frac{1}{3600} \text{ hours}\)
- \(1 \text{ second} = \frac{1}{60} \text{ minutes}\)
- \(1 \text{ millisecond (ms)} = 10^{-3} \text{ seconds}\)
- \(1 \text{ microsecond} = 10^{-6} \text{ seconds}\)
- \(1 \text{ nanosecond} = 10^{-9} \text{ seconds}\)
For length conversions, refer to the length conversion table.
Solved Velocity Conversion Problems
Question 1
Convert \(1 \text{ km/hr}\) into \(\text{inches/second}\).
View Solution
From the length conversion table: \(1 \text{ km} = 39,370.07 \text{ inches}\).
Time conversion: \(1 \text{ hour} = 3600 \text{ seconds}\).
Therefore:
\[ 1 \text{ km/hr} = \frac{39,370.07 \text{ inches}}{3600 \text{ sec}} = 10.9361 \text{ inches/sec} \]Question 2
Convert \(12.34 \text{ miles/hour}\) into \(\text{centimeters/minute}\).
View Solution
Length conversion: \(1 \text{ mile} = 160,934.4 \text{ cm}\).
Time conversion: \(1 \text{ hour} = 60 \text{ minutes}\).
Therefore:
\[ 12.34 \text{ miles/hour} = \frac{12.34 \times 160,934.4 \text{ cm}}{60 \text{ min}} = 3.30988 \times 10^{4} \text{ cm/min} \]Question 3
Convert \(60 \text{ miles/hour}\) into \(\text{meters/second}\).
View Solution
Length conversion: \(1 \text{ mile} = 1609.344 \text{ meters}\).
Time conversion: \(1 \text{ hour} = 3600 \text{ seconds}\).
Therefore:
\[ 60 \text{ miles/hour} = \frac{60 \times 1609.344 \text{ m}}{3600 \text{ sec}} = 26.8223 \text{ m/sec} \]Question 4
The speed of light is approximately \(3 \times 10^{8} \text{ m/sec}\). Convert to \(\text{km/hour}\).
View Solution
Length conversion: \(1 \text{ m} = 0.001 \text{ km}\).
Time conversion: \(1 \text{ second} = \frac{1}{3600} \text{ hour}\).
Therefore:
\[ 3 \times 10^{8} \text{ m/sec} = 0.001 \times 3 \times 10^{8} \times 3600 \text{ km/hour} = 1.08 \times 10^{9} \text{ km/hour} \]Question 5
Convert \(235 \text{ feet/second}\) into \(\text{meters/minute}\).
View Solution
Length conversion: \(1 \text{ foot} = 0.3048 \text{ m}\).
Time conversion: \(1 \text{ second} = \frac{1}{60} \text{ minutes}\).
Therefore:
\[ 235 \text{ feet/second} = \frac{235 \times 0.3048 \text{ m}}{(1/60) \text{ min}} = 4297.68 \text{ meters/minute} \]