Hence, they wi EXERCISE III 1. Convert the following speeds into m/sec: (i) 9 km/hr (ii) 720 m/hr (iii) 160 cm/min. With full process
Answers
Answer:
(i) 0.25 m/sec
(ii) 0.2 m/sec
(iii) 0.02667 m/sec
Step-by-step explanation:
(i) to convert 9 km/hr to m/sec we need to convert the units
so as 1 km = 1000m and 1 hr =60 × 60 secs= 3600 secs
therefore, we will multiple 9 km/hr with 1000/3600. so that the units change from km/hr to m/sec.
⇒ 9km/hr × 1000/3600 = 9000/36000 m/sec = 1/4 m/sec = 0.25 m/sec
(ii) 720 m/hr
we again have to change units.
1m = 1m (it is already in meters) . 1hr=3600 secs
therefore, we will multiple 720 m/hr with 1/3600. so that the units change from m/hr to m/sec.
⇒720 m/hr ×1/3600 = 720/3600 m/sec = 1/5 m/sec = 0.2 m/sec
(iii) 160 cm/min
we know that, 1cm = 1/100 m and 1min=60 sec
therefore, we will multiple 160cm/min with 1/(60 × 100) i.e. 1/6000 so that the units change from c.m/min to m/sec.
⇒ 160 cm/min × 1/6000 = 160/6000 m/sec =
2/75 m/sec or 0.02667 m/sec
Hope it helps!