The angular velocity of a wheel increases from 100 rps to 300 rps in 10 seconds . The number of revolutions made during that time is

Question

The angular velocity of a wheel increases from 100 rps to 300 rps in 10 seconds . The number of revolutions made during that time is (A) 600 (B) 1500 (C) 1000 (D) 3000

Tardigrade Admin · Accepted Answer

Angular displacement during time θ =(ω 2-ω 1)t =(2π n2-2π n1)t =(600π -200π )× 10 =4000 text π text rad Therefore, number of revolutions made during this time =(4000π /2π )=2000

Q. The angular velocity of a wheel increases from $100 r p s$ to $300 r p s$ in $10 seco n d s$ . The number of revolutions made during that time is

600

1500

1000

3000

2000

Angular displacement during time
$θ = (ω_{2} - ω_{1}) t$
$= (2 π n_{2} - 2 π n_{1}) t$
$= (600 π - 200 π) \times 10$
$= 4000 π r a d$
Therefore, number of revolutions made during this time $= \frac{4000 π}{2 π} = 2000$

Q. The angular velocity of a wheel increases from 100rps to 300rps in 10seconds . The number of revolutions made during that time is

600