the wheel of the cart is making 5 revolutions per second.if the diameter of the wheel 84cm find its speed in km/hr give your answer ,to the nearest km
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Find the radius:
Radius = Diameter ÷ 2
Radius = 84 ÷ 2 = 42 cm
Find one revolution:
Circumference = 2πr
Circumference = 2π (42) = 264 cm
FInd 5 revolutions:
1 revolution = 264 cm
5 revolution =264 x 5 = 1320 cm
Find the speed:
Distance = 1320 cm
Time = 1 second
Convert distance to km:
Distance = 1320 cm
Distance = 13.2 m
Distance = 0.0132 km
Convert time to hour:
Time = 1 second
Time = 1 ÷ 60 = 1/60 min
Time = 1/60 ÷ 60 = 1/3600 hour
Find Speed:
Speed = Distance ÷ Time
Speed = 0.0132 ÷ 1/3600 = 47.52 km/h
Answer: The speed is 47.52 km/h
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