An insect trapped in a circular groove of radius 12 cm moves along the groove steadily and completes 7 revolutions in 100 s The angular speed and linear speed of the motion are

Question

An insect trapped in a circular groove of radius 12 cm moves along the groove steadily and completes 7 revolutions in 100 s The angular speed and linear speed of the motion are (A) 0.11 rad / s , 3.4 cm s -1 (B) 0.22 rad / s , 4.6 cm s -1 (C) 0.44 rad / s , 5.3 cm s -1 (D) 0.66 rad / s , 6.4 cm s -1

Tardigrade Admin · Accepted Answer

ω=(2 π/T)=(2 π × 7/100)=0.44 ( rad / s ) v=ω R=0.44 s -1 × 12 cm =5.3 cm s -1

Q. An insect trapped in a circular groove of radius 12 cm moves along the groove steadily and completes 7 revolutions in 100 s The angular speed and linear speed of the motion are

$0.11 r a d / s, 3.4 c m s^{- 1}$

$0.22 r a d / s, 4.6 c m s^{- 1}$

$0.44 r a d / s, 5.3 c m s^{- 1}$

$0.66 r a d / s, 6.4 c m s^{- 1}$

$ω = \frac{2 π}{T} = \frac{2 π \times 7}{100} = 0.44 \frac{r a d}{s}$
$v = ω R = 0.44 s^{- 1} \times 12 c m = 5.3 c m s^{- 1}$

Q. An insect trapped in a circular groove of radius 12 cm moves along the groove steadily and completes 7 revolutions in 100 s The angular speed and linear speed of the motion are

0.11rad/s,3.4cms−1

0.22rad/s,4.6cms−1

0.44rad/s,5.3cms−1

0.66rad/s,6.4cms−1

ω=T2π​=1002π×7​=0.44srad​ v=ωR=0.44s−1×12cm=5.3cms−1

$0.11 r a d / s, 3.4 c m s^{- 1}$

$0.22 r a d / s, 4.6 c m s^{- 1}$

$0.44 r a d / s, 5.3 c m s^{- 1}$

$0.66 r a d / s, 6.4 c m s^{- 1}$

$ω = \frac{2 π}{T} = \frac{2 π \times 7}{100} = 0.44 \frac{r a d}{s}$
$v = ω R = 0.44 s^{- 1} \times 12 c m = 5.3 c m s^{- 1}$