Question

a particle of mass 0.5g is traveling in a circle of radius R=1.5 m and with angular velocity of 10 rad/s. what is the tangential velocity of the particle?

Answer 1

Answer:

15m/s

Explanation:

s = rθ ...(i)

differentiating (i) w.r.t. time

=> Vtan =rω = 1.5 * 10 = 15m/s

Answer 2

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✣ A particle of mass (m) 0.5g.

✣ The particle is traveling in a circle of radius (r) = 1.5 m

✣ Angular velocity (ω) of the particle is 10 rad/s.

✣ We need to find the tangential velocity (v) of the particle.

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✪ CALCULATION ✪

The relation between tangential velocity and it's angular velocity is given as :

$\longrightarrow\:\:\sf v = r\omega$

Now, simply plug in the known values in above formula.

$\longrightarrow\:\:\sf v = 1.5 \times 10$

$\longrightarrow\:\: \underline{ \boxed{\sf v = 15 \: {ms}^{ - 1} }}$

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