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A fan is rotating with an initial angular speed of 4.00 radians per second and a constant angular acceleration of 6.00 radians per second squared?
To determine the fan's angular speed after a certain time, you can use the formula ( \omega_f = \omega_i + \alpha t ), where ( \omega_f ) is the final angular speed, ( \omega_i ) is the initial angular speed, ( \alpha ) is the angular acceleration, and ( t ) is the time. With an initial speed of 4.00 radians/second and an acceleration of 6.00 radians/second², the fan's angular speed will increase linearly over time. For example, after 1 second, the final speed would be ( 4.00 + (6.00 \times 1) = 10.00 ) radians/second. The angular speed will continue to increase at this rate based on the time elapsed.
What else can I help you with?
What is formulas finding speed and velocity?
velocity = distance / time There are also some formulae involving acceleration; for example, in the case of constant acceleration: velocity = initial velocity + acceleration x time If the acceleration is not constant, an integral is used instead.
What is the angular velocity of the wheel before braking began if the wheel rotates through 6 radians in 2 seconds as it is uniformly brought to rest?
It was 6 radians per second. Angular acceleration = -3 radians per second2 Initial angular velocity = 6 radians per second. Final angular velocity = zero. Average angular velocity = 3 radians per second. Angular displacement in 2 seconds = 3 x 2 = 6 radians.
How do you calculate tota distance traveled when given velocity time and acceleration?
Assuming constant acceleration: distance = v(0) t + (1/2) a t squared Where v(0) is the initial velocity.
How do you find the time from acceleration and distance?
You can use the formula for distance covered:distance = (initial velocity) x (time) + (1/2) (acceleration) (time squared) Solve for time. This assumes constant acceleration, by the way. If you assume that the initial velocity is zero, then you can omit the first term on the right. This makes the equation especially easy to solve.
How do you find acceleration if only given a velocity?
If you have an initial and final velocity and time you can figure it out with this equation, Vf squared=Vi squared1/2a(t squared) If you don't have those you cannot find acceleration. However the acceleration on Earth is a constant -9.81
An electric ceiling fan is rotating about a fixed axis with an initial angular velocity of 0.300 The angular acceleration is 0.898 Its blades form a circle of diameter 0.760?
The ceiling fan has an initial angular velocity of 0.300 rad/s and an angular acceleration of 0.898 rad/s^2. The diameter of the circle formed by its blades is 0.760 m.
If a body is rotating is it necessarily being acted upon by an external torque?
No, a rotating body can maintain its rotation without an external torque if it has an initial angular momentum or is in space with no external forces. However, if the body experiences a change in its rotation speed or direction, then an external torque is likely acting upon it.
How do you calculate angular acceleration in a rotational motion system?
Angular acceleration in a rotational motion system is calculated by dividing the change in angular velocity by the time taken for that change to occur. The formula for angular acceleration is: angular acceleration (final angular velocity - initial angular velocity) / time.
At time a grinding wheel has an angular velocity of 27.0 It has a constant angular acceleration of 31.0 until a circuit breaker trips at time 2.10 From then on the wheel turns through an ang?
The initial angular velocity of the wheel is 27.0 rad/s and it has a constant acceleration of 31.0 rad/s^2 until time 2.10 s. After the circuit breaker trips, you will need to provide more information to complete the question.
When is acceleration equals half of the sum of initial and final velocities?
If you have a particle with constant acceleration, and you add the initial and final velocities and then divide them by two, what you get is the average velocity of the particle in that period of time.
What angular acceleration is necessary to increase the angular speed of a fan blade from 8.5 rads per second to 15.4 rads per second in 5.2 seconds?
Wf - Wi = a*t, where Wi and Wf are the initial and final angular velocities, respectively, a is the angular acceleration, and t is time. So, a*t = 15.4 rad/s - 8.5 rad/s = 6.9 rad/s, thus a = 6.9 rad/s / 5.2 s = 1.3 rad/s2.
If a body is rotating is it necessarily bejng acted upon by an external torque?
No. Just as no force is required to keep a moving body moving in a straight lineat constant speed, no torque is required to keep a rotating body rotating at aconstant speed. External torque is present only if the body's rate of rotation ischanging.
An object has initial velocity in the upward direction a final velocity in the downward direction and undergoes constant acceleration What can you say about its average acceleration?
The average acceleration of the object will be negative since it changes direction from upward to downward velocity. The acceleration will be constant because the object undergoes constant acceleration throughout the motion.
The velocity of an object moving in a straight line changes at a constant rate when the object is experiencing constant?
acceleration. If the velocity of an object changes at a constant rate, this implies it is accelerating or decelerating at a constant rate, regardless of its initial velocity.
What is formulas finding speed and velocity?
velocity = distance / time There are also some formulae involving acceleration; for example, in the case of constant acceleration: velocity = initial velocity + acceleration x time If the acceleration is not constant, an integral is used instead.
Can a velocity be reversed if acceleration is constant?
Sure. A pendulum, a child's playground swing, and a bullet shot straight up all have constant acceleration, and all reverse direction.
When the acceleration is zero what can you say about the velocity of an object?
When acceleration is zero, the object's velocity can still be changing if the initial velocity is not zero. However, if acceleration is zero and the initial velocity is also zero, then the object's velocity will remain constant.
