To find the bicycle's linear acceleration, we can use the relationship between linear acceleration ($a$) and angular acceleration ($\alpha$) given by the formula:

$a = r \cdot \alpha$

where:

• $r$ is the radius of the wheels,
• $\alpha$ is the angular acceleration.

Given:

• $\alpha = 1.50 \, \text{rad/s}^2$
• $r = 34.0 \, \text{cm} = 0.34 \, \text{m}$ (converted to meters)

Now we can calculate the linear acceleration:

$a = 0.34 \, \text{m} \cdot 1.50 \, \text{rad/s}^2 = 0.51 \, \text{m/s}^2$

Thus, the bicycle's linear acceleration is 0.51 m/s².

Would you like further details or have any questions? Here are some related questions you might consider:

1. How does the linear acceleration change with a different angular acceleration?
2. What is the relationship between linear and angular velocity?
3. How would you calculate the distance traveled by the bicycle in a given time?
4. What factors can affect the angular acceleration of the bicycle's wheels?
5. How does the size of the wheel influence the bicycle's performance?

Tip: Always convert units to the SI system before performing calculations to ensure consistency.