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repository:terminal_velocity [2020/09/01 16:53] porcaro1 [Answer Key] |
repository:terminal_velocity [2021/02/16 23:46] porcaro1 [See Also] |
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| ** Terminal Velocity ** | ** Terminal Velocity ** | ||
| + | {{ :repository:terminal_velocity.png?nolink&600|}} | ||
| A coin is being dropped from the top of a building. When will it reach terminal velocity? How does the force of gravity compare to the force of air resistance? Take a look at the [[https://www.glowscript.org/#/user/david.pastula/folder/MyPrograms/program/TerminalVelocity-MinimalProgram/edit | unfinished code]] and answer the following questions: | A coin is being dropped from the top of a building. When will it reach terminal velocity? How does the force of gravity compare to the force of air resistance? Take a look at the [[https://www.glowscript.org/#/user/david.pastula/folder/MyPrograms/program/TerminalVelocity-MinimalProgram/edit | unfinished code]] and answer the following questions: | ||
| ==Pre-coding Questions== | ==Pre-coding Questions== | ||
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| Now with your group, complete the provided code. Be sure to include arrows showing the magnitude of forces acting on the coin. As well, create a velocity vs. time graph and a forces vs. time graph (Pre-coding Questions 1 and 2). When your code is complete, answer the following questions: | Now with your group, complete the provided code. Be sure to include arrows showing the magnitude of forces acting on the coin. As well, create a velocity vs. time graph and a forces vs. time graph (Pre-coding Questions 1 and 2). When your code is complete, answer the following questions: | ||
| - | ==Post-coding Questions== | + | ==Post-coding Questions/Reflection== |
| - Describe your contributions to the coding process within your group. | - Describe your contributions to the coding process within your group. | ||
| - What did you find the terminal velocity to be based on the graph produced by the code? Does this agree with your calculations? | - What did you find the terminal velocity to be based on the graph produced by the code? Does this agree with your calculations? | ||
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| ===Handout=== | ===Handout=== | ||
| ==Pre-coding Answers== | ==Pre-coding Answers== | ||
| - | - INSERT PICTURE | + | - {{:repository:terminal_velocity_velocity.png?nolink&600|}} |
| - | - INSERT PICTURE | + | - {{:repository:terminal_velocity_forces.png?nolink&600|}} |
| - | - The equation for terminal velocity is $V=\sqrt{\dfrac{2W}{C\rho A}}$, where | + | - The equation for terminal velocity is $v=\sqrt{\dfrac{2W}{C\rho A}}$, where |
| - | - $W$ is the weight of the coin (N) | + | * $W$ is the weight of the coin (N) |
| - | - this is calculated by multiplying the mass of the coin by the acceleration of gravity: $W= 0.01135 \text{kg} * 9.81 \text{m/s/s} = 0.111 \text{N}$ | + | * this is calculated by multiplying the mass of the coin by the acceleration of gravity: $W= 0.01135 \text{kg} * 9.81 \text{m/s/s} = 0.111 \text{N}$ |
| - | - $C$ is the drag coefficient (1.15, no units) | + | * $C$ is the drag coefficient (1.15, no units) |
| - | - $\rho$ is the density of air (1.2754 kg/m³) | + | * $\rho$ is the density of air (1.2754 kg/m³) |
| - | - $A$ is the area of the coin | + | * $A$ is the area of the coin |
| - | - this is calculated by squaring the radius of the coin and multiplying it by pi: $A= (0.015305 \text{m})^2 * \pi = 0.000736 \text{m²}$ | + | * this is calculated by squaring the radius of the coin and multiplying it by pi: $A= (0.015305 \text{m})^2 * \pi = 0.000736 \text{m²}$ |
| - | - $v=\sqrt{\dfrac{2*0.111}{1.15*1.275*0.000736}}=14.3 \text{m/s}$ | + | * $v=\sqrt{\dfrac{2*0.111}{1.15*1.275*0.000736}}=14.3 \text{m/s}$ |
| + | |||
| + | ==Post-coding Answers== | ||
| + | Use the previous answers and the completed code below to guide your reflection. | ||
| ===Code=== | ===Code=== | ||
| [[https://www.glowscript.org/#/user/david.pastula/folder/MyPrograms/program/TerminalVelocity-FullProgram/edit | Link]] | [[https://www.glowscript.org/#/user/david.pastula/folder/MyPrograms/program/TerminalVelocity-FullProgram/edit | Link]] | ||
| - | <code Python [enable_line_numbers="true", highlight_lines_extra=""]> | + | <code Python [enable_line_numbers="true", highlight_lines_extra="24,25,28,29,44,46,47,48,49,50,51,54,55,56,57"]> |
| GlowScript 2.8 VPython | GlowScript 2.8 VPython | ||
| #Window Setup | #Window Setup | ||
| Line 180: | Line 184: | ||
| ---- | ---- | ||
| ====See Also==== | ====See Also==== | ||
| - | * | + | *[[beating_the_train | Beating the Train]] |
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