50 100 150 200 horizontal velocity, m/y 10 20 bedrock 30 The figure at left shows the vertical velocity profile of the Athabasca Glacier in Canada, where its surface slope is 8º. Calculate each of the following at 165 m depth using the following depth and velocity data: At a depth of 150 m, the velocity is 24.5 m/yr, and at a depth of 180 m, the velocity is 17 m/yr. As usual, ice has a density of 900 kg/m³, g is 9.8 m/s², and in Glens flow law, n = 3. 5. What is the magnitude (i.e. absolute value) of the strain rate to the nearest hundredth, in yr-¹? 6. What is the shear stress driving that strain to the nearest bar? 7. What is the constant, A, in Glens flow law, to the nearest bar-³-5-1? 8. What is the ice viscosity to the nearest kPa-yr? (Note that this is about 2 QUADRILLION times more viscous than water).

Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
icon
Related questions
Question

Help please 

### Velocity Profile of Athabasca Glacier

#### Graph Explanation
The graph depicts the vertical velocity profile of the Athabasca Glacier in Canada. The x-axis represents the horizontal velocity in meters per year (m/y), ranging from 0 to 30 m/y. The y-axis represents the depth in meters (m), ranging from 0 to 200 m, with the bottom labeled as "bedrock."

- **Data Points**: Orange circles indicate the measured velocities at various depths. The profile shows increasing horizontal velocity with decreasing depth.
- **Trend**: The velocity is lower closer to the bedrock (around 200 m) and increases rapidly towards the surface (near 0 m depth).

#### Velocity Data
- **At 150 m depth**: 24.5 m/y
- **At 180 m depth**: 17 m/y
- Use these values to calculate the properties at 165 m depth.

#### Calculation Tasks
1. **Strain Rate at 165 m Depth**:
   - Determine the magnitude (absolute value) of the strain rate to the nearest hundredth, in yr⁻¹.

2. **Shear Stress at 165 m Depth**:
   - Calculate the shear stress driving that strain to the nearest bar.

3. **Constant A in Glens Flow Law**:
   - Find the constant, A, to the nearest bar⁻³·s¹.

4. **Ice Viscosity**:
   - Determine the viscosity of the ice to the nearest kPa·yr, noting it’s approximately 2 quadrillion times more viscous than water.

**Parameters**:
- Surface slope: 8°
- Ice density: 900 kg/m³
- Gravitational acceleration (g): 9.8 m/s²
- Glens flow law exponent (n): 3

These insights are critical for understanding glacier dynamics and the underlying physics of ice flow.
Transcribed Image Text:### Velocity Profile of Athabasca Glacier #### Graph Explanation The graph depicts the vertical velocity profile of the Athabasca Glacier in Canada. The x-axis represents the horizontal velocity in meters per year (m/y), ranging from 0 to 30 m/y. The y-axis represents the depth in meters (m), ranging from 0 to 200 m, with the bottom labeled as "bedrock." - **Data Points**: Orange circles indicate the measured velocities at various depths. The profile shows increasing horizontal velocity with decreasing depth. - **Trend**: The velocity is lower closer to the bedrock (around 200 m) and increases rapidly towards the surface (near 0 m depth). #### Velocity Data - **At 150 m depth**: 24.5 m/y - **At 180 m depth**: 17 m/y - Use these values to calculate the properties at 165 m depth. #### Calculation Tasks 1. **Strain Rate at 165 m Depth**: - Determine the magnitude (absolute value) of the strain rate to the nearest hundredth, in yr⁻¹. 2. **Shear Stress at 165 m Depth**: - Calculate the shear stress driving that strain to the nearest bar. 3. **Constant A in Glens Flow Law**: - Find the constant, A, to the nearest bar⁻³·s¹. 4. **Ice Viscosity**: - Determine the viscosity of the ice to the nearest kPa·yr, noting it’s approximately 2 quadrillion times more viscous than water. **Parameters**: - Surface slope: 8° - Ice density: 900 kg/m³ - Gravitational acceleration (g): 9.8 m/s² - Glens flow law exponent (n): 3 These insights are critical for understanding glacier dynamics and the underlying physics of ice flow.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Applications and Investigations in Earth Science …
Applications and Investigations in Earth Science …
Earth Science
ISBN:
9780134746241
Author:
Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:
PEARSON
Exercises for Weather & Climate (9th Edition)
Exercises for Weather & Climate (9th Edition)
Earth Science
ISBN:
9780134041360
Author:
Greg Carbone
Publisher:
PEARSON
Environmental Science
Environmental Science
Earth Science
ISBN:
9781260153125
Author:
William P Cunningham Prof., Mary Ann Cunningham Professor
Publisher:
McGraw-Hill Education
Earth Science (15th Edition)
Earth Science (15th Edition)
Earth Science
ISBN:
9780134543536
Author:
Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:
PEARSON
Environmental Science (MindTap Course List)
Environmental Science (MindTap Course List)
Earth Science
ISBN:
9781337569613
Author:
G. Tyler Miller, Scott Spoolman
Publisher:
Cengage Learning
Physical Geology
Physical Geology
Earth Science
ISBN:
9781259916823
Author:
Plummer, Charles C., CARLSON, Diane H., Hammersley, Lisa
Publisher:
Mcgraw-hill Education,