To solve this problem, we need to use the equations of rotational motion.

Step 1: Find the angular displacement (θ) using the equation θ = 0.5 * α * t^2, where α is the angular acceleration and t is the time.

θ = 0.5 * 2.5 rad/s^2 * (6 s)^2 = 45 rad

Step 2: Convert the angular displacement to linear displacement (d) using the equation d = r * θ, where r is the radius of the tire.

d = 0.3 m * 45 rad = 13.5 m

So, the vehicle will move 13.5 meters in 6 seconds.

Question

To solve this problem, we need to use the equations of rotational motion.

Step 1: Find the angular displacement (θ) using the equation θ = 0.5 * α * t^2, where α is the angular acceleration and t is the time.

θ = 0.5 * 2.5 rad/s^2 * (6 s)^2 = 45 rad

Step 2: Convert the angular displacement to linear displacement (d) using the equation d = r * θ, where r is the radius of the tire.

d = 0.3 m * 45 rad = 13.5 m

So, the vehicle will move 13.5 meters in 6 seconds.

Knowee AI · Accepted Answer

To solve this problem, we need to use the equations of rotational motion.

Step 1: Find the angular displacement (θ) using the equation θ = 0.5 * α * t^2, where α is the angular acceleration and t is the time.

θ = 0.5 * 2.5 rad/s^2 * (6 s)^2 = 45 rad

Step 2: Convert the angular displacement to linear displacement (d) using the equation d = r * θ, where r is the radius of the tire.

d = 0.3 m * 45 rad = 13.5 m

So, the vehicle will move 13.5 meters in 6 seconds.

An automobile tyre 0.3 m radius rotates from rest and accelerates at a constant angularacceleration of 2.5 rad/s2. If there is no slippage between the tires and road calculatehow far the vehicle move in 6 seconds.