The tangential speed of the tip of this hour hand is 0.143 mm/s.
The tangential speed v = rω where r = length of hour hand = 8.2 cm = 0.082 m and ω = angular speed = 2π/T where T = period of hour hand = 60 min = 60 min × 60 s/min = 3600 s.
Substituting the values of the variables into the equation, we have
v = rω
v = r2π/T
v = 0.082 m × 2π/3600 s
v = 0.164π/3600 m/s
v = 0.5152/3600 m/s
v = 0.000143 m/s
v = 0.143 mm/s
So, the tangential speed of the tip of this hour hand is 0.143 mm/s.
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