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Irina-Kira [14]
3 years ago
11

A wheel rotates through 5.7 rad in 2.6 s as it is brought to rest with constant angular acceleration. Determine the wheel's init

ial angular speed before braking began.
Physics
1 answer:
ratelena [41]3 years ago
8 0

Answer: w = 4.38rad/s

Therefore the initial speed is 4.38rad/s

Explanation:

Given;

Angular distance = 5.7rad

Time = 2.6sec

When moving at constant angular acceleration, the angular distance covered can be given as;

d = ((w0 + w1)/2)t .....1

Where d = angular distance = 5.7rad

w = initial angular speed

w1 = final angular speed = 0

t = time of change. = 2.6 s

Substituting to equation 1 we have;

5.7 = ((w+0)/2)×2.6

w = 5.7×2/2.6

w = 4.38rad/s

Therefore the initial speed is 4.38rad/s

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A 70.0 kg sprinter starts a race with an acceleration of 2.00 m/s2. If the sprinter accelerates at that rate for 29 m, and then
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Answer:

t = 12.82s

Explanation:

F = m×a

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during the acceleration, the sprinter cover d = 29 m with time:

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6 0
3 years ago
Someone fires a 0.04 kg bullet at a block of wood that has a mass of 0.5 kg. (The block of wood is sitting on a frictionless sur
d1i1m1o1n [39]

Answer:

The speed of bullet and wooden bock coupled together, V = 22.22 m/s

Explanation:

Given that,

Mass of the bullet, m = 0.04 Kg

Mass of the wooden block, M = 0.5 Kg

The initial velocity of the bullet, u = 300 m/s

The initial velocity of the wooden block, U = 0 m/s

The final velocity of the bullet and wooden bock coupled together, V = 0 m/s

According to the conservation of linear momentum, the total momentum of the body after impact is equal to the total momentum before impact.

Therefore,

                              mV + MV = mu + MU

                               V(m+M) = mu

                                 V = mu/(m+M)

Substituting the values in the above equation,

                                V = 0.04 Kg x 300 m/s  / (0.04 Kg+ 0.5 Kg)

                                    = 22.22 m/s

Hence, the speed of bullet and wooden bock coupled together, V = 22.22 m/s

8 0
3 years ago
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