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Korvikt [17]
3 years ago
13

At time t = 0 s, a wheel has an angular displacement of zero radians and an angular velocity of +26 rad/s. The wheel has a const

ant acceleration of -0.43 rad/s2. In this situation, the time t (after t = 0 s), at which the kinetic energy of the wheel is twice the initial value, is closest to...
150s How do you solve for this?? I keep getting a negative time value
Physics
1 answer:
Alex777 [14]3 years ago
6 0

Answer:

t= 25.04 s

Explanation:

Given  that

Initial angular speed ,ωi= 26 rad/s

Angular acceleration ,α=0.43 rad/s²

We know that kinetic energy of the wheel given as

KE=\dfrac{1}{2}I\omega^2

I=Mass monent of inertia

ω=Angular speed

If kinetic energy is two time then the final angular speed

\omega_f=\sqrt{2}\ \omega_i

We know that

\omega_f = \omega_i + \alpha\ t

\sqrt{2}\ \omega_i= \omega_i +0.43\times t

t= 25.04 s

After 25.04 s then kinetic energy will become two times of the initial kinetic energy.

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The 1470 kJ of energy supplied by the yogurt would be consumed by 150 W of work (efficiency of 20%) in about 32.7 h. Then if people is not careful, easily would have more energy from the food that the amount that can consume exercising.

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Then if for the consumption of 1470 kJ of energy is required almost 33 hours, Then is easy to see that the amount of enegy that can be obtain of food would much more than the amount that can be depleted by exercise

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