Distance travelled by the tip of the hour hand 10 cm in100 second
Answers
Answer:
0.1455 cm
Step-by-step explanation:
r=10cm
hour hand makes 30° in 1 hour
angle in 100 sec= (30/3600)*100
=30/36
θ=5°/6
circumference of clock=2πr
=2*22/7*10=440/7
The distance traveled by tip
=θ/360*2πr
=440/7*5/6*1/360
=2200/42*1/360
=2200/15120
=0.1455 cm
Answer:
Distance traveled by the tip = 0.1455cm
Step-by-step explanation:
let r be length of hour hand = 10 cm
Hour hand travels 30° in 1 hour
angle covered in 100 sec (α) = (30/3600 )* 100 = 5°/6
Circumference of clock= 2πr
Circumference of clock= 2*22/7*10=440/7
Distance traveled by the tip = Circumference of clock * angle cover
Distance traveled by the tip = (440/7) * [(5°/6) / 360°]
=2200/42*1/360
=2200/15120
=0.1455 cm
Distance traveled by the tip = 0.1455cm
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