Skateboarder Needs Speed for 3m Quarter Pipe

Yomama discuss the necessary speed for a 55kg skateboarder to make it to the upper edge of a quarter pipe with a radius of 3.0 m. Hubert suggests using two energy equations, potential energy and kinetic energy, to solve the problem. By equating these equations, the necessary speed can be found using the formula v=sqrt(2gh). The correct speed needed for the skateboarder to make it to the upper edge is 7.7 m/s. In summary, the necessary speed for the skateboarder to make it to the upper edge of the quarter pipe is 7.7 m/s.
  • #1
yomama
10
0
A 55kg skateboarder wants to make it to the upper edge of a quarter pipe with a radius 3.0 m. What speed do they need at the the bottom?
A.) 7.7 m/s
B.) 9.1 m/s
C.) 5.4 m/s

If you could help me out with the correct formula to use, that would help!
 
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  • #2


Sorry new to the site... Revised the question on a later post
 
  • #3


Hello Yomama

This can be done very quickly and effectivelly with the assistance of two energy equations:

Potential energy=mgh
Kinetinc Energy=(mv^2)/2

Equate the two in the following way:

mgh=(mv^2)/2 Note: m cancelles out

gh=(v^2)/2
2gh=v^2
v=sqrt(2gh) where: g=9.81, h=radius of pipe=3

Find v by substituting the value.

Hubert
 

FAQ: Skateboarder Needs Speed for 3m Quarter Pipe

How fast does a skateboarder need to go to successfully clear a 3m quarter pipe?

The speed required to successfully clear a 3m quarter pipe varies depending on the skateboarder's skill level and the shape and angle of the quarter pipe. Generally, a skateboarder needs to be traveling at a speed of at least 15-20 miles per hour to successfully clear a 3m quarter pipe.

What factors affect a skateboarder's speed on a quarter pipe?

The main factors that affect a skateboarder's speed on a quarter pipe are the shape and angle of the quarter pipe, the skateboarder's technique and skill level, and the surface of the ramp (e.g. smoothness, grip). Wind resistance and the skateboarder's body weight can also play a role in their speed.

How can a skateboarder increase their speed on a quarter pipe?

To increase speed on a quarter pipe, a skateboarder can try pumping, which involves using their body weight and leg movements to generate momentum. They can also try adjusting the angle of the quarter pipe or using a skateboard with larger wheels and a longer wheelbase, which can provide more stability and speed.

What are some common mistakes that can cause a skateboarder to lose speed on a quarter pipe?

Some common mistakes that can cause a skateboarder to lose speed on a quarter pipe include not generating enough momentum before approaching the ramp, not keeping their weight centered over the board, and not using their arms and legs to pump and maintain speed. Poor technique, such as leaning too far back or not bending their knees, can also result in a loss of speed.

How can a skateboarder safely practice and improve their speed on a quarter pipe?

To safely practice and improve speed on a quarter pipe, it is important for a skateboarder to first ensure that the ramp is in good condition and free of any obstacles. They should also wear appropriate safety gear, such as a helmet and knee and elbow pads. Starting with a lower ramp and gradually increasing the height can help a skateboarder build confidence and improve their speed. It is also important to practice proper technique and to listen to their body to avoid overexertion or injuries.

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