Speed Conversion: 90 km/hr to m/s

To convert speed from kilometers per hour (km/hr) to meters per second (m/s), we need to use standard conversion factors.

• 1 kilometer equals 1000 meters.
• 1 hour equals 3600 seconds (60 minutes × 60 seconds/minute).

We are given the speed as $90$ km/hr. To convert this, we multiply by the conversion factors:

$ \text{Speed in m/s} = \text{Speed in km/hr} \times \frac{1000 \text{ metres}}{3600 \text{ seconds}} $

Substitute the given speed:

$ \text{Speed} = 90 \times \frac{1000}{3600} \, \text{m/s} $

Simplify the fraction $\frac{1000}{3600}$:

$ \frac{1000}{3600} = \frac{10}{36} = \frac{5}{18} $

Now, perform the multiplication:

$ \text{Speed} = 90 \times \frac{5}{18} \, \text{m/s} $

Calculate the final value:

$ \text{Speed} = \frac{90}{18} \times 5 \, \text{m/s} = 5 \times 5 \, \text{m/s} = 25 \, \text{m/s} $

Therefore, the speed of $90$ km/hr is equal to $25$ m/s.