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Mathematics

1 answer:

ss7ja [257]2 years ago

3 0

Answer:

Approximately 0.51

Step-by-step explanation:

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Initially a wheel rotating about a fixed axis at a constant angular deceleration of 0.5 rad/s 2 has an angular velocity of 0 rad

Zigmanuir [339]

Answer:

$\theta = 5.83\ rad$

Step-by-step explanation:

given,

angular deceleration, α = -0.5 rad/s²

final angular velocity,ω_f = 0 rad/s

angular position, θ = 6.1 rad

angular position at 3.9 s = ?

now, Calculating the initial angular speed

$\omega_f^2 = \omega_i^2 + 2 \alpha \theta$

$0 = \omega_i^2 - 2\times 0.5\times 6.1$

$\omega_i = \sqrt{6.1}$

$\omega_i = 2.47\ rad/s$

now, angular position calculation at t=3.9 s

$\theta = \omega_i t + \dfrac{1}{2}\alpha t^2$

$\theta =2.47\times 3.9 - \dfrac{1}{2}\times 0.5\times 3.9^2$

$\theta = 5.83\ rad$

Hence, the angular position of the wheel after 3.9 s is equal to 5.83 rad.

7 0

3 years ago

Is this equation a linear function? If so give the intersepts 12x+3y=6

Katarina [22]

Dear Mendozaaj55, 12x + 3y = 6 is a linear function. To find the y-intercept set x = 0 and solve --> 3y = 6 --> y = 2. Therefore, the y-intercept is (0,2). To find the x-intercept, set y = 0 and solve. 12x = 6 ---> x = .5---> the x-intercept is the coordinate (.5, 0). Best.

7 0

3 years ago

The perimeter of a rectangle is 40 cm. The length is 14 cm. Let x = width of the rectangle. Ravi says he can find the width usin

Usimov [2.4K]

Answer:

Divide both sides by 2

Step-by-step explanation:

We have the equation

2(x + 14) = 40

We divide both sides by 2

2(x + 14) = 40/2

x + 14 = 20