a bucket filled with water has a weight of 150 N and is attached to a rope that is woud around a pully (solid disc) with a 0.5m
1 answer:
Answer:
20 rad/s^{2}
Explanation:
weight / force (F) = 150 N
radius (r) = 0.5 m
mass (m) = 15 kg
angular acceleration = tangential acceleration / radius
where
- tangential acceleration = force/ mass = 150/15 = 10 m/s^{2}
- substituting the above into the equation for angular acceleration we have
angular acceleration = 10 / 0.5 =
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Explanation:
The attached figure shows data for the cart speed, distance and time.
For low fan speed,
Distance, d = 500 cm
Time, t = 7.4 s
Average velocity,
Acceleration,
For medium fan speed,
Distance, d = 500 cm
Time, t = 6.4 s
Average velocity,
Acceleration,
For high fan speed,
Distance, d = 500 cm
Time, t = 5.6 s
Average velocity,
Acceleration,
Hence, this is the required solution.
Answer:
The slope of a position-time graph represents an object’s velocity.
Explanation:
In a position-time graph, the values on the x-axis represent the time, while the values on the y-axis represent the position of the object.
Velocity is defined as the ratio between the displacement of an object and the time taken:
However, we can see that this definition corresponds to the slope of the curve in a position-time graph. In fact:
, the displacement, corresponds to the difference in position, so the difference between the values on the y-axis:
, the time interval, corresponds to the difference in times, so the difference between the values on the x-axis:
So, the velocity is
which corresponds to the slope of the curve.