Angular acceleration is α⃗=2k̂ rad/s² and position r⃗=(2î+3ĵ) m. Tangential acceleration a⃗ₜ=α⃗×r⃗=xî+yĵ. Find |x+y|.
Physics · Mixed Chapter
JEE Main Practice

Question

Angular acceleration is α⃗=2k̂ rad/s² and position r⃗=(2î+3ĵ) m. Tangential acceleration a⃗ₜ=α⃗×r⃗=xî+yĵ. Find |x+y|.

G1 Physics · Accepted Answer

Step 1: Compute a⃗ₜ=(2k̂)×(2î+3ĵ). Step 2: Using k̂×î=ĵ and k̂×ĵ=−î gives a⃗ₜ=4ĵ−6î. Step 3: x=−6 and y=4. Therefore |x+y|=|−2|=2.