Answer:
a) 5.61 rad/s
b) 16.83 rad/s
Explanation:
Distance to the floor = 79cm = 0.79m
Rotation is <1 revolution
The toast will rotate at an angular speed that is constant while it falls. The toast will also be falling with constant acceleration due to gravity. Using equation of motion, which is
S = ut + 1/2gt²
S = 0 + 1/2gt²
S = gt², where, S = d
0.79 = 9.81t²
t² = 0.79/9.81
t² = 0.081
t = 0.28s
As the toast is accidentally pushed, it rotates as it falls. It will be landing on its edges when and if it hits the ground. The smallest angle here would then be 1/4 of the revolution. This is also the smallest angular speed.
ω(min) = ΔΦ revolution /Δt
ω(min) = 1/4 * 2π / 0.28
ω(min) = 0.5π/0.28
ω(min) = 5.61 rad/s
Since 1/4 of revolution is the minimum angle, the remaining(3/4), is the maximum angle. Thus
ω(max) = 3/4 * 2π / 0.28
ω(max) = 0.75 * 2π / 0.28
ω(max) = 16.83 rad/s
<span>Henry Moseley established a periodic table that arranges the elements by atomic number;The atomic number increases from left to right on the periodic table;Metalloids have the characteristics of both metals and nonmetals.</span>
Answer:
I do believe her actions were justified.
Explanation:
Due to the school charging extra fee from her father who makes a modest amount as a teacher. There was sum of money involved that could change how he lived and her.
I do not believe her actions where justified
She had a lot going for her. She could have skipped the hardship of helping grace and pass. She could have easily have gotten a good job with a degree and paid back all the debts owed. Alot of troubles could have been avoided just by doing her own thing.
Assuming a perpetual inventory system and using the weighted average method, the weighted average unit is determined as $11.44 after the October 22 purchase.
<h3>What is Weighted Average Cost (WAC)?</h3>
The Weighted Average Cost (WAC) method of inventory valuation in accounting uses a weighted average to establish the COGS and inventory levels.
The price of the products up for grabs is divided by the quantity of them in the weighted average cost technique.
The WAC technique is appropriate under both GAAP and IFRS accounting. Weighted Average Cost (WAC) Method Formula
<h3>Weighted Average Cost</h3>
Weighted Average Unit Costs = [360 units×$12 + (320-180) ×$10] / [360+(320-180)]units}
Weighted Average Unit Costs = $5720 / 500 units
Weighted Average Unit Costs = $11.44
Costs of goods that are offered for sale are calculated using beginning inventory value plus acquisitions.
Units available for sale are the number of units that can be sold by a company or the total number of units that are in its inventory.
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<span>The flywheel is solid cylindrical disc. Moment of inertial = ½ * mass * radius^2
Mass = 40.0 kg
Radius = ½ * 76.0 cm = 38 cm = 0.38 meter
Moment of inertial = ½ * 41 * 0.36^2
Convert rpm to radians/second
The distance of 1 revolution = 1 circumference = 2 * π * r
The number of radians/s in 1 revolution = 2 * π
1 minute = 60 seconds
1 revolution per minute = 2 * π radians / 60 seconds = π/30 rad/s
Initial angular velocity = 500 * π/30 = 16.667 * π rad/s
170 revolutions = 170 * 2 * π = 340 * π radians
The flywheel’s initial angular velocity = 16.667 * π rad/s. It decelerated at the rate of 1.071 rad/s^2 for 48.89 seconds.
θ = ωi * t + ½ * α * t^2
θ = 16.667 * π * 48.89 + ½ * -1.071 * 48.89^2
2559.9 - 1280
θ = 1280 radians</span>
