Convert 1.00 km/h to m/s using 1 km = 1000 m and 1 h = 3600 s
1km/hr * 1000m/km * 1hr/3600sec
The Space Shuttle astronauts use a massing chair to measure their mass. The chair is attached to a spring and is free to oscillate back and forth. The frequency of the oscillation is measured and that is used to calculate the total mass m attached to the spring. If the spring constant of the spring k is measured in kg/s^2 and the chair's frequency f is 0.50 s-^1 for a 62-kg astronaut, what is the chair's frequency for a 75-kg astronaut? The chair itself has a mass of 10.0 kg. [Hint: use dimensional analysis to find out how f depends on m and k.]
To convert km/h to m/s, you can use the conversion factors given in the problem.
We know that 1 km = 1000 m and 1 h = 3600 s. Therefore, we can set up a conversion equation using these factors:
1 km/h = x m/s
To solve for x, we need to cancel out the km and h units.
First, let's convert km to m. Since 1 km = 1000 m, we can divide both sides of the equation by 1000:
1 km/h = (1/1000) x m/s
Simplifying the right side, we get:
1 km/h = 0.001 x m/s
Now, let's convert the h unit to s. Since 1 h = 3600 s, we can further simplify the equation by multiplying both sides by 3600:
1 km/h = 0.001 x m/s
1 km/h * 3600 = 0.001 x m/s * 3600
Simplifying the right side, we get:
3600 km/h = 3.6 m/s
So, 1.00 km/h is equal to 3.6 m/s.