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

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 linear speed of the insect is (A) 4.3 cms-1 (B) 5.3 cms-1 (C) 6.3 cms-1 (D) 7.3 cms-1

Tardigrade Admin · Accepted Answer

Here, r = 12 cm, frequency, upsilon=(7/100)rps The angular speed of the insect is ω=2π upsilon=2π×(7/100)=0.44 rad s-1 The linear speed of the insect is v= ω r=0.44 × 12 = 5.3 cm s-1

Q. An insect trapped in a circular groove of radius $12 c m$ moves along the groove steadily and completes $7$ revolutions in $100 s$ . The linear speed of the insect is

$4.3 c m s^{- 1}$

$5.3 c m s^{- 1}$

$6.3 c m s^{- 1}$

$7.3 c m s^{- 1}$

Here, $r = 12 c m$ , frequency, $υ = \frac{7}{100} r p s$
The angular speed of the insect is
$ω = 2 π υ = 2 π \times \frac{7}{100} = 0.44 r a d s^{- 1}$
The linear speed of the insect is $v = ω r = 0.44 \times 12$
$= 5.3 c m s^{- 1}$

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

4.3cms−1

5.3cms−1

6.3cms−1

7.3cms−1