A hamster wheel has a diameter of 9 inches and makes one revolution every 3 seconds when the hamster is running on it. From the
perspective of the spinning wheel, what is the angular velocity of the hamster in radians per second? Round your answer to the nearest hundredth.
2 answers:
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The complete question in the attached figure
we know that
[arcs rc +arc cs arc sm]---------------> they take up half a circle-------->180°
<span> they are all congruent
so
divide 180 by 3 ----------------> 180/3=60</span>°
Find the length of arc rc=60°<span>
if 360</span>°----------------> (2*pi*7) length of circumference
60° -------------------> X
<span>X=60*2*pi*7/360------------> 7.327 units
the answer is
</span>the length of arc rc= <span>7.33 units
</span>
we know that
[arcs rc +arc cs arc sm]---------------> they take up half a circle-------->180°
<span> they are all congruent
so
divide 180 by 3 ----------------> 180/3=60</span>°
Find the length of arc rc=60°<span>
if 360</span>°----------------> (2*pi*7) length of circumference
60° -------------------> X
<span>X=60*2*pi*7/360------------> 7.327 units
the answer is
</span>the length of arc rc= <span>7.33 units
</span>