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[H.S. 16]fter 10 seconds 1 5.CEREA proan an| স্থাপন কৰা।)13. A car is moving from rest. After 10 secondsits wheels rotate 360 times in 1 minute. Ifthe radius of the wheel is 50cm. then find(i) angular acceleration and (ii) angularvelocity after 30 seconds---------its traj---

Answer»

A car is moving is moving from rest , it means intial angular speed of wheels , ω₀ = 0 wheels of car rotates 360 times per minute means angular speed after 1 minutes , ω = 2πn/T = 2π × 360/60 rad/secω = 2π × 6 = 12π rad/sec

Now, use formulaω = ω₀+ αt Here α is angular acceleration Given, ω = 12π rad/s , ω₀ = 0 rad/s and t = 30 sec ∴ 12π = 0 + α × 30 α = 12π/30 = 2π/5 rad/s²

angular velocity after 30 sec ω' = ω + αt = 12π + 2π/5 × 30 = 24π rad/s



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