Final answer:
To find turns per meter, divide the total number of turns (N) by the length over which they are spread (L) in meters. After calculation, it's important to check if the result seems reasonable by evaluating units and magnitude. Unit conversions, such as km/h to m/s, often involve using standard conversion factors.
Step-by-step explanation:
To calculate the turns per meter for an object, such as a coil or a solenoid in physics, you would typically divide the total number of turns (N) of the coil by the length of the coil or the distance over which those turns are distributed (L), which should be measured in meters.
So, the formula for turns per meter is:
- Identify the total number of turns of the coil (N).
- Measure the length (L) over which the coil extends, in meters.
- Divide the number of turns (N) by the length (L) in meters to get the turns per meter (turns/meter = N/L).
Afterward, ensure to check if the answer is reasonable, considering factors like the sign, units, and magnitude. To illustrate unit conversion, let's convert velocity from kilometers per hour (km/h) to meters per second (m/s). This involves two conversion factors,
- 1 hour = 3600 seconds
- 1 kilometer = 1000 meters
To convert, multiply the velocity in km/h by the conversion factors:
Velocity (m/s) = (Velocity (km/h) × 1000 meters/kilometer) / 3600 seconds/hour
Applying this to an actual velocity value, such as 105 km/h:
Velocity (m/s) = (105 × 1000) / 3600 = 29.17 m/s