1. The angular acceleration of a bicycle wheel is 2 rad/s?. At time, t = 0, the spoke in horizontal position and has an angular velocity of 4 rad/s. a) What angle does the spoke make with the horizontal at t = 3 seconds? b) What is the wheel's angular velocity at this time?

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A: radius (r) = 0.1 m I = 4 kg m2initial angular velocity = 0 rad/secTorque = 12 N-m t = 4 sec

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A: GIVEN: initial angular velocity ωi=0 final angular velocity ωf=120 rad/s time t=5.4 s radius r=5.4m…

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A: Angular acceleration = a/r

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A: Given data:  Initial angular velocity (ω0) = 0 rad/s Final angular velocity (ω) = 120 rad/s Time (t)…

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A: Given: The radius of the wheel is R=0.15 m. The moment of inertia of the wheel is I=4 kgm2. The…

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A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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A: Given: θ = 2t3 + 3t2 + 10 Formula: Angular velocity, ω=dθdtAngular acceleration, α=dωdt

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A: 1) Flywheel starts from rest with angular acceleration 5rad/s2 until 3sec

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A: Initial angular velocity (ωo) = 0 radsecAngular acceleration (α) = 4 radsec2time (t) = 9 seconds

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Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.