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Alex_Xolod [135]
4 years ago
6

A wheel with rotational inertia 0.04 kg•m2 and radius 0.02 m is turning at the rate of 10 revolutions per second when a friction

al torque is applied to stop it. How much work is done by the torque in stopping the wheel?
Physics
1 answer:
Rus_ich [418]4 years ago
7 0

Answer:

-78.96 J

Explanation:

The workdone by the torque in stopping the wheel = rotational kinetic energy change of wheel.

So W = 1/2I(ω₁² - ω₀²) where I = rotational inertia of wheel = 0.04 kgm², r = radius of wheel = 0.02 m, ω₀ = initial rotational speed = 10 rev/s × 2π = 62.83 rad/s, ω₁ = final rotational speed = 0 rad/s (since the wheel stops)

W = 1/2I(ω₁² - ω₀²) = 1/2 0.04 kgm² (0² - (62.83 rad/s)²) = -78.96 J  

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direct current

Explanation:

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4 0
3 years ago
Read 2 more answers
While traveling along a highway a driver slows from 24 m/s to 15 m/s in 12 seconds. What is the automobile's acceleration? (Reme
djverab [1.8K]

Considering that while traveling on a road with a<u> final speed of 15 m/s</u>, and an<u> initial speed of 24 m/s</u>, with a given time <u>of 12 seconds.</u>

To calculate the acceleration, we apply the following formula:

α = Vf - Vo/t

We add our data into the formula and solve:

α = 15 m/s - 24 m/s/12 sec

α = -0.75 m/s²

Therefore, the acceleration of the car is -0.75 m/s².

<h2>Skandar</h2>
4 0
2 years ago
A rock is thrown up into the air. It reaches the apex of it's flight and falls back down to the Earth. At the top of the rock's
alex41 [277]

Answer:

assuming the air resistance = 0

so the acceleration is almost constant at 9.82 m/s²

5 0
3 years ago
A. According to theory, the period T of a simple pendulum is T = 2????√ ???? ???? a. If ???? is measured as ???? = 1.40 ± 0.01 m
salantis [7]

Answer:

a)         T = (2,375 ± 0.008) s , b) When comparing this interval with the experimental value we see that it is within the possible theoretical values.

Explanation:

a) The period of a simple pendulum is

         T = 2π √ L / g

Let's calculate

         T = 2π √1.40 / 9.8

         T = 2.3748 s

The uncertainty of the period is

         ΔT = dT / dL ΔL

         ΔT = 2π ½ √g/L   1/g  ΔL

         ΔT = π/g √g/L   ΔL

         ΔT = π/9.8 √9.8/1.4    0.01

         ΔT = 0.008 s

The result for the period is

        T = (2,375 ± 0.008) s

b) the experimental measure was T = 2.39 s ± 0.01 s

The theoretical value is comprised in a range of [2,367, 2,387] when we approximate this measure according to the significant figures the interval remains [2,37, 2,39].

When comparing this interval with the experimental value we see that it is within the possible theoretical values.

6 0
4 years ago
How large must the coefficient of static friction be between the tires and the road if a car is to round a level curve of radius
maria [59]

Answer:

897

Explanation:

Speed of the car, v = 126 km/h, converting to m/s, we have v = 35 m/s and

Radius of the curve, R = 150 mm = 0.15 m

The centripetal acceleration a(c) is given by the formula = v² / R so that

a(c) = 35² / 0.15

a(c) = 1225 / 0.15

a(c) = 8167 m/s²

The force that causes the acceleration is frictional force = µ m g, where

µ = coefficient of friction

m = the mass of the car and

g = acceleration due to gravity, 9.81

From Newton's law:

µ m g = m a(c) , so that

µ = a(c) / g

µ = 8167 / 9.81

µ = 897

Therefore, the coefficient of static friction must be as big as 897

5 0
3 years ago
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