find angular speed of the second hand and hour hand of a clock
Answer (1)
4th Jun, 2020
Hello!!
Hope you are doing great!!!
Angular speed of a hour's hand:
The hour hand takes 12 hours to do 2π radians.(1 rotation)
12 hours = 12 hours *60 minutes/hour *60 seconds/minute
=43200 seconds (this is the time taken to do 1 rotation)
therefore, angular speed ω = 2π radians/t seconds
= 2π/43200 seconds
=1.5*10^-4 rad/sec
Angular speed of a second's hand:
The second hand goes through 2π radians in 1 minute(60 seconds)
Angular speed of a second's hand ω = 2π radians/t seconds
=ω=π/30
=0.03 rad/sec
Hope it helps you!!!
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