Woodpeckers' skulls are adapted to be able to deliver a large force to a wood surface...

 

Transcribed Image Text:

Woodpeckers' skulls are adapted to be able to deliver a large force to a wood surface in order to drill a hole to get at insects under the bark of the tree. In order to get an idea of the scale of the forces involved we will consider a model from a 2011 paper by Yoon and Park.* A photo from their paper is shown at the right to set a scale. In the figure below is shown Yoon & Parks model of the beak displacement. Disp (m) 0.004 0.002 0.000- -0.002 0.000 0.005 0.010 0.015 0.020 0.025 Time (sec) From the displacement curve of the tip of the beak, we can infer the force that the woodpecker's head and beak feel -- and therefore the forces they exert on the tree. (This curve has been smoothed somewhat, especially in the initial ms when the woodpecker feels a high frequency vibration. Although this has important consequences for the woodpecker's brain mounting structure, we will ignore it here.) * S-H Yoon & S. Park, A mechanical analysis of woodpecker drumming and its application to shock absorbing systems, Bioinspiration & Biomimetics, 6 (2011) 016003 (12 pp). 5 cm 20% Part (a) The displacement in the graph is measured from the surface of the wood. From the data in the graph, estimate the speed with which the beak tip hits the wood in m/s. (This occurs in the first millisecond.) 20% Part (b) Estimate the acceleration that turns the beak's motion around in m/s. (This occurs in the first millisecond.) data. 20% Part (c) Using the FAt = mAv form of Newton's second law, infer the magnitude of the force (in N) on the woodpecker's beak. Estimate anything you need to know that isn't given in the 20% Part (d) Explain the reasoning used in your estimate in part (c). 20% Part (e) How does the force that the tree exerts on the woodpecker's beak (as shown here) compare to the force the beak exerts on the tree? Explain your reasoning. --Tool Selection-- Clear Canvas Submit Hint Feedback I give up! Hints: 0 for a 0% deduction. Hints remaining: 0 Feedback: 0% deduction per feedback. Grade Summary Deductions 0% 100% Potential Submissions Attempts remaining: (0% per attempt) detailed view Woodpeckers' skulls are adapted to be able to deliver a large force to a wood surface in order to drill a hole to get at insects under the bark of the tree. In order to get an idea of the scale of the forces involved we will consider a model from a 2011 paper by Yoon and Park.* A photo from their paper is shown at the right to set a scale. In the figure below is shown Yoon & Parks model of the beak displacement. Disp (m) 0.004 0.002 0.000- -0.002 0.000 0.005 0.010 0.015 0.020 0.025 Time (sec) From the displacement curve of the tip of the beak, we can infer the force that the woodpecker's head and beak feel -- and therefore the forces they exert on the tree. (This curve has been smoothed somewhat, especially in the initial ms when the woodpecker feels a high frequency vibration. Although this has important consequences for the woodpecker's brain mounting structure, we will ignore it here.) * S-H Yoon & S. Park, A mechanical analysis of woodpecker drumming and its application to shock absorbing systems, Bioinspiration & Biomimetics, 6 (2011) 016003 (12 pp). 5 cm 20% Part (a) The displacement in the graph is measured from the surface of the wood. From the data in the graph, estimate the speed with which the beak tip hits the wood in m/s. (This occurs in the first millisecond.) 20% Part (b) Estimate the acceleration that turns the beak's motion around in m/s. (This occurs in the first millisecond.) data. 20% Part (c) Using the FAt = mAv form of Newton's second law, infer the magnitude of the force (in N) on the woodpecker's beak. Estimate anything you need to know that isn't given in the 20% Part (d) Explain the reasoning used in your estimate in part (c). 20% Part (e) How does the force that the tree exerts on the woodpecker's beak (as shown here) compare to the force the beak exerts on the tree? Explain your reasoning. --Tool Selection-- Clear Canvas Submit Hint Feedback I give up! Hints: 0 for a 0% deduction. Hints remaining: 0 Feedback: 0% deduction per feedback. Grade Summary Deductions 0% 100% Potential Submissions Attempts remaining: (0% per attempt) detailed view