Question

An airplane is traveling at a speed of 200 km/h. Identify the correct conversion factor setup required to compute the speed of the airplane in m/s. A) 200km 1hr x 1000m 1km x 1hr 60min x 60s 1min B) 200km 1hr x 1000m 1km x 1hr 60min x 1min 60s C) 200km 1hr x 1000m 200km x 1hr 60min x 1min 60s D) 200km 1hr x 1000m 200km x 1hr 60min x 60s 1min

Answer 1

The correct conversion is B)

B) 200km 1hr x 1000m 1km x 1hr 60min x 1min 60s

Hence,

200 km/h ⇒
`(200 * 1000)/(60* 60)=55.56\ m/s`

Explanation:

Given:

An airplane is traveling at a speed of 200 km/h.

The correct conversion is B)

B) 200km 1hr x 1000m 1km x 1hr 60min x 1min 60s

Reason:

For Converting Speed unit km/h ⇒ m/s

First we need to convert km ⇒ meter

So 1 km = 1000 meter

Secondly, in hour ⇒ seconds first we need to convert it into minutes then to seconds

hour ⇒ minute ⇒ seconds

So 1 hour = 60 minute and 1 minute = 60 seconds

Therefore, 1 hour = 60 min × 60 sec

Hence,

200 km/h ⇒
`(200 * 1000)/(60* 60)=55.56\ m/s`