convert a speed of 957 cm/s to units of inches per minute
The correct answer and explanation is:
To convert a speed of 957 cm/s to inches per minute, follow these steps:
- Convert centimeters to inches:
There are 2.54 centimeters in an inch. To convert from centimeters to inches, divide by 2.54: 957 cm÷2.54≈376.38 inches957 \, \text{cm} \div 2.54 \approx 376.38 \, \text{inches} - Convert seconds to minutes:
There are 60 seconds in a minute. To convert from per second (s) to per minute (min), multiply by 60: 376.38 inches per second×60=22,582.8 inches per minute376.38 \, \text{inches per second} \times 60 = 22,582.8 \, \text{inches per minute}
Thus, the speed of 957 cm/s is equivalent to approximately 22,582.8 inches per minute.
Explanation:
When converting between different units of measurement, you need to apply conversion factors for both the distance (centimeters to inches) and the time (seconds to minutes). The key conversion factors used here are:
- 1 inch = 2.54 cm
- 1 minute = 60 seconds
By converting each unit individually, you first find the number of inches in 957 cm, and then adjust for the change in time units from seconds to minutes by multiplying by 60. This ensures the result is expressed in the desired units: inches per minute. Conversion between different units is an essential skill in various fields such as engineering, physics, and daily practical applications, allowing measurements to be standardized for comparison, calculation, or analysis.