Question

A wheel makes 360 revolutions in
12 minute. Through how
hadians
many
does it oun in one second.
2 TL
TL
5TL
6 π​

Answer 1

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A wheel makes 360 revolution in one through how many radian does it turn in one second

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Explanation:

Number of revolution in 12minute =360

number of revolution in one minute =360/12=30

[As 1 minute =60 second]

Number of revolution in 1 second =30/60

=1/2 revolution

Angle made by wheel in 1 revolution =360°

Angle made in 1/2 revolution =1/2×360°

$radian = \frac{\pi}{180} \times degree \: measure$

Radian made in 6 revolution=

$1/2 \times {360} \times \frac{\pi}{180}$

$= 1/2 \times 2 \times \pi$

$= \pi$

∴The wheel turn π in one second