Answer :
circumference = pi x diamater
radius = 14cm
diamater= 2r = 28cm
60 minutes in hour for one full rotation
10 minutes = 1/6 and hour
it travels (28 x pi) / 6
radius = 14cm
diamater= 2r = 28cm
60 minutes in hour for one full rotation
10 minutes = 1/6 and hour
it travels (28 x pi) / 6
We have that The the tip of a 14cm long minute hand on a clock moves [tex]x=14.6608 cm[/tex] in 10 minutes,Giving the correct Answer to be [tex]x=14.6608 cm[/tex]
From the question we are told that:
Length of Minute Hand [tex]l=14cm[/tex]
Time [tex]T=10 minutes[/tex]
Generally the angle covered in time T is mathematically given as
Since
[tex]60 minutes =360 \textdegree[/tex]
Therefore
[tex]\theta=\frac{T}{60}*360[/tex]
[tex]\theta=\frac{10}{60}*360[/tex]
[tex]\theta=60 \textdegree[/tex]
[tex]\theta= 1.0472 rad[/tex]
Therefore
The distance covered by the tip of the minute hand is
[tex]x=\theta*r[/tex]
Where
Length of Minute Hand l=Radius r
[tex]x=1.0472*14\\\\[/tex]
[tex]x=14.6608 cm[/tex]
In conclusion
The the tip of a 14cm long minute hand on a clock moves [tex]x=14.6608 cm[/tex] in 10 minutes
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