For the <em>honeybee </em>that circles a field looking for a flower upon which to land, we have:
a) The tangential velocity is 10.01 m/s.
b) The centripetal acceleration is 40.1 m/s².
c) The centripetal force is 1.60 N.
a) The tangential velocity can be calculated as follows:
(1)
Where:
r: is the radius of the circle = 2.5 m
ω: is the angular velocity = 2π/T
T: is the period = 1.57 s
By entering the above values into equation (1), we have:
Hence, the <em>tangential velocity</em> is 10.01 m/s.
b) The centripetal acceleration is related to the<em> tangential velocity</em> as follows:
Therefore, the<em> centripetal acceleration</em> is 40.1 m/s².
c) The centripetal force is given by:
Where:
m: is the honeybee's mass = 0.04 kg
Hence, the <em>centripetal force</em> is 1.60 N.
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