The problem involves the concept of angular acceleration, which is the rate of change of angular velocity.

Given that the flywheel starts from rest and rotates through 10 rad in the first second, we can say that the angular velocity (ω) at the end of the first second is 10 rad/s (since angular velocity = angle rotated/time and time here is 1 second).

The problem also states that the flywheel is accelerated uniformly. This means that the angular acceleration (α) is constant. Since the flywheel starts from rest, the angular acceleration is equal to the angular velocity divided by time. So, α = ω/t = 10 rad/s / 1 s = 10 rad/s².

Now, we want to find the angle rotated by the flywheel in the next second. The formula for the angle rotated (θ) when starting from rest under constant angular acceleration is θ = 0.5 * α * t².

For the second second, t = 1 s (since we're considering only that second). So, θ = 0.5 * 10 rad/s² * (1 s)² = 5 rad.

Therefore, the flywheel rotates through an angle of 5 rad in the next second.

Question

The problem involves the concept of angular acceleration, which is the rate of change of angular velocity.

Given that the flywheel starts from rest and rotates through 10 rad in the first second, we can say that the angular velocity (ω) at the end of the first second is 10 rad/s (since angular velocity = angle rotated/time and time here is 1 second).

The problem also states that the flywheel is accelerated uniformly. This means that the angular acceleration (α) is constant. Since the flywheel starts from rest, the angular acceleration is equal to the angular velocity divided by time. So, α = ω/t = 10 rad/s / 1 s = 10 rad/s².

Now, we want to find the angle rotated by the flywheel in the next second. The formula for the angle rotated (θ) when starting from rest under constant angular acceleration is θ = 0.5 * α * t².

For the second second, t = 1 s (since we're considering only that second). So, θ = 0.5 * 10 rad/s² * (1 s)² = 5 rad.

Therefore, the flywheel rotates through an angle of 5 rad in the next second.

Knowee AI · Accepted Answer

The problem involves the concept of angular acceleration, which is the rate of change of angular velocity.

Given that the flywheel starts from rest and rotates through 10 rad in the first second, we can say that the angular velocity (ω) at the end of the first second is 10 rad/s (since angular velocity = angle rotated/time and time here is 1 second).

The problem also states that the flywheel is accelerated uniformly. This means that the angular acceleration (α) is constant. Since the flywheel starts from rest, the angular acceleration is equal to the angular velocity divided by time. So, α = ω/t = 10 rad/s / 1 s = 10 rad/s².

Now, we want to find the angle rotated by the flywheel in the next second. The formula for the angle rotated (θ) when starting from rest under constant angular acceleration is θ = 0.5 * α * t².

For the second second, t = 1 s (since we're considering only that second). So, θ = 0.5 * 10 rad/s² * (1 s)² = 5 rad.

Therefore, the flywheel rotates through an angle of 5 rad in the next second.

A ﬂy wheel is accelerated uniformly from rest and rotates through 10 rad in the ﬁrstsecond. Find the angle rotated by the ﬂy wheel in the next second

Question

A fly wheel is accelerated uniformly from rest and rotates through 10 rad in the first second. Find the angle rotated by the fly wheel in the next second.

Solution

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